diff --git a/packages/flutter/test/rendering/editable_test.dart b/packages/flutter/test/rendering/editable_test.dart
index 3ce391ebd59..6fa1fc2a6a6 100644
--- a/packages/flutter/test/rendering/editable_test.dart
+++ b/packages/flutter/test/rendering/editable_test.dart
@@ -428,10 +428,7 @@ void main() {
     pumpFrame(phase: EnginePhase.compositingBits);
 
     expect(editable, paintsExactlyCountTimes(#drawRRect, 0));
-
-    // TODO(yjbanov): ahem.ttf doesn't have Chinese glyphs, making this test
-    //                sensitive to browser/OS when running in web mode:
-  }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/83129
+  });
 
   test('text is painted above selection', () {
     final TextSelectionDelegate delegate = _FakeEditableTextState();
@@ -810,51 +807,44 @@ void main() {
     expect(editable.hasFocus, false);
   });
 
-  test(
-    'has correct maxScrollExtent',
-    () {
-      final TextSelectionDelegate delegate = _FakeEditableTextState();
-      EditableText.debugDeterministicCursor = true;
+  test('has correct maxScrollExtent', () {
+    final TextSelectionDelegate delegate = _FakeEditableTextState();
+    EditableText.debugDeterministicCursor = true;
 
-      final RenderEditable editable = RenderEditable(
-        maxLines: 2,
-        backgroundCursorColor: Colors.grey,
-        textDirection: TextDirection.ltr,
-        cursorColor: const Color.fromARGB(0xFF, 0xFF, 0x00, 0x00),
-        offset: ViewportOffset.zero(),
-        textSelectionDelegate: delegate,
-        text: const TextSpan(
-          text:
-              '撒地方加咖啡哈金凤凰卡号方式剪坏算法发挥福建垃\nasfjafjajfjaslfjaskjflasjfksajf撒分开建安路口附近拉设\n计费可使肌肤撒附近埃里克圾房卡设计费"',
-          style: TextStyle(height: 1.0, fontSize: 10.0, fontFamily: 'Roboto'),
-        ),
-        startHandleLayerLink: LayerLink(),
-        endHandleLayerLink: LayerLink(),
-        selection: const TextSelection.collapsed(offset: 4, affinity: TextAffinity.upstream),
-      );
+    final RenderEditable editable = RenderEditable(
+      maxLines: 2,
+      backgroundCursorColor: Colors.grey,
+      textDirection: TextDirection.ltr,
+      cursorColor: const Color.fromARGB(0xFF, 0xFF, 0x00, 0x00),
+      offset: ViewportOffset.zero(),
+      textSelectionDelegate: delegate,
+      text: const TextSpan(
+        text:
+            '撒地方加咖啡哈金凤凰卡号方式剪坏算法发挥福建垃\nasfjafjajfjaslfjaskjflasjfksajf撒分开建安路口附近拉设\n计费可使肌肤撒附近埃里克圾房卡设计费"',
+        style: TextStyle(height: 1.0, fontSize: 10.0, fontFamily: 'Roboto'),
+      ),
+      startHandleLayerLink: LayerLink(),
+      endHandleLayerLink: LayerLink(),
+      selection: const TextSelection.collapsed(offset: 4, affinity: TextAffinity.upstream),
+    );
 
-      editable.layout(BoxConstraints.loose(const Size(100.0, 1000.0)));
-      expect(editable.size, equals(const Size(100, 20)));
-      expect(editable.maxLines, equals(2));
-      expect(editable.maxScrollExtent, equals(90));
+    editable.layout(BoxConstraints.loose(const Size(100.0, 1000.0)));
+    expect(editable.size, equals(const Size(100, 20)));
+    expect(editable.maxLines, equals(2));
+    expect(editable.maxScrollExtent, equals(90));
 
-      editable.layout(BoxConstraints.loose(const Size(150.0, 1000.0)));
-      expect(editable.maxScrollExtent, equals(50));
+    editable.layout(BoxConstraints.loose(const Size(150.0, 1000.0)));
+    expect(editable.maxScrollExtent, equals(50));
 
-      editable.layout(BoxConstraints.loose(const Size(200.0, 1000.0)));
-      expect(editable.maxScrollExtent, equals(40));
+    editable.layout(BoxConstraints.loose(const Size(200.0, 1000.0)));
+    expect(editable.maxScrollExtent, equals(40));
 
-      editable.layout(BoxConstraints.loose(const Size(500.0, 1000.0)));
-      expect(editable.maxScrollExtent, equals(10));
+    editable.layout(BoxConstraints.loose(const Size(500.0, 1000.0)));
+    expect(editable.maxScrollExtent, equals(10));
 
-      editable.layout(BoxConstraints.loose(const Size(1000.0, 1000.0)));
-      expect(editable.maxScrollExtent, equals(10));
-      // TODO(yjbanov): This test is failing in the Dart HHH-web bot and
-      //                needs additional investigation before it can be reenabled.
-    },
-    // https://github.com/flutter/flutter/issues/93691
-    skip: const bool.fromEnvironment('DART_HHH_BOT'),
-  );
+    editable.layout(BoxConstraints.loose(const Size(1000.0, 1000.0)));
+    expect(editable.maxScrollExtent, equals(10));
+  });
 
   test('getEndpointsForSelection handles empty characters', () {
     final TextSelectionDelegate delegate = _FakeEditableTextState();
@@ -1505,7 +1495,7 @@ void main() {
       final Rect composingRect =
           editable.getRectForComposingRange(const TextRange(start: 4, end: 5))!;
       expect(composingRect, const Rect.fromLTRB(40.0, 0.0, 54.0, 14.0));
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61021
+    });
 
     test('able to render multiple WidgetSpans', () async {
       final TextSelectionDelegate delegate =
@@ -1550,7 +1540,7 @@ void main() {
       final Rect composingRect =
           editable.getRectForComposingRange(const TextRange(start: 4, end: 7))!;
       expect(composingRect, const Rect.fromLTRB(40.0, 0.0, 82.0, 14.0));
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61021
+    });
 
     test('able to render WidgetSpans with line wrap', () async {
       final TextSelectionDelegate delegate =
@@ -1599,7 +1589,7 @@ void main() {
       expect(composingRect, const Rect.fromLTRB(40.0, 0.0, 68.0, 14.0));
       composingRect = editable.getRectForComposingRange(const TextRange(start: 6, end: 7))!;
       expect(composingRect, const Rect.fromLTRB(0.0, 14.0, 14.0, 28.0));
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61021
+    });
 
     test('able to render WidgetSpans with line wrap alternating spans', () async {
       final TextSelectionDelegate delegate =
@@ -1657,7 +1647,7 @@ void main() {
       expect(composingRect, const Rect.fromLTRB(24.0, 18.0, 34.0, 28.0));
       composingRect = editable.getRectForComposingRange(const TextRange(start: 9, end: 10))!;
       expect(composingRect, const Rect.fromLTRB(34.0, 14.0, 48.0, 28.0));
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61021
+    });
 
     test('able to render WidgetSpans nested spans', () async {
       final TextSelectionDelegate delegate =
@@ -1711,7 +1701,7 @@ void main() {
       expect(composingRect, const Rect.fromLTRB(0.0, 14.0, 14.0, 28.0));
       composingRect = editable.getRectForComposingRange(const TextRange(start: 7, end: 8));
       expect(composingRect, null);
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61021
+    });
 
     test('WidgetSpan render box is painted at correct offset when scrolled', () async {
       final TextSelectionDelegate delegate =
@@ -1752,7 +1742,7 @@ void main() {
       final Rect composingRect =
           editable.getRectForComposingRange(const TextRange(start: 4, end: 5))!;
       expect(composingRect, const Rect.fromLTRB(40.0, -100.0, 54.0, -86.0));
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61021
+    });
 
     test('can compute IntrinsicWidth for WidgetSpans', () {
       // Regression test for https://github.com/flutter/flutter/issues/59316
@@ -1893,7 +1883,7 @@ void main() {
       result = BoxHitTestResult();
       editable.hitTest(result, position: const Offset(5.0, 15.0));
       expect(result.path, hasLength(0));
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61020
+    });
 
     test('hits correct WidgetSpan when scrolled', () {
       final String text = '${"\n" * 10}test';
@@ -1975,7 +1965,7 @@ void main() {
       result = BoxHitTestResult();
       editable.hitTest(result, position: const Offset(5.0, 15.0));
       expect(result.path, hasLength(1)); // Only the RenderEditable.
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61020
+    });
   });
 
   test('does not skip TextPainter.layout because of invalid cache', () {
diff --git a/packages/flutter/test/rendering/paragraph_test.dart b/packages/flutter/test/rendering/paragraph_test.dart
index c8f5ea2bc51..4968c510db5 100644
--- a/packages/flutter/test/rendering/paragraph_test.dart
+++ b/packages/flutter/test/rendering/paragraph_test.dart
@@ -247,7 +247,7 @@ void main() {
     expect(boxes[3], const TextBox.fromLTRBD(130.0, 10.0, 156.0, 20.0, TextDirection.ltr));
     // 'fifth':
     expect(boxes[4], const TextBox.fromLTRBD(0.0, 20.0, 50.0, 30.0, TextDirection.ltr));
-  }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61016
+  });
 
   test('getWordBoundary control test', () {
     final RenderParagraph paragraph = RenderParagraph(
@@ -343,7 +343,7 @@ void main() {
 
     relayoutWith(maxLines: 100, softWrap: true, overflow: TextOverflow.fade);
     expect(paragraph.debugHasOverflowShader, isFalse);
-  }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61018
+  });
 
   test('maxLines', () {
     final RenderParagraph paragraph = RenderParagraph(
@@ -583,7 +583,7 @@ void main() {
     expect(boxes[2], const TextBox.fromLTRBD(24.0, 0.0, 38.0, 14.0, TextDirection.ltr));
     expect(boxes[3], const TextBox.fromLTRBD(38.0, 4.0, 48.0, 14.0, TextDirection.ltr));
     expect(boxes[4], const TextBox.fromLTRBD(48.0, 0.0, 62.0, 14.0, TextDirection.ltr));
-  }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61020
+  });
 
   test('getBoxesForSelection with boxHeightStyle for inline widgets', () {
     const TextSpan text = TextSpan(
@@ -625,7 +625,7 @@ void main() {
     expect(boxes[2], const TextBox.fromLTRBD(24.0, 0.0, 38.0, 14.0, TextDirection.ltr));
     expect(boxes[3], const TextBox.fromLTRBD(38.0, 0.0, 48.0, 14.0, TextDirection.ltr));
     expect(boxes[4], const TextBox.fromLTRBD(48.0, 0.0, 62.0, 14.0, TextDirection.ltr));
-  }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61020
+  });
 
   test('inline widgets multiline test', () {
     const TextSpan text = TextSpan(
@@ -678,7 +678,7 @@ void main() {
     // Wraps
     expect(boxes[7], const TextBox.fromLTRBD(0.0, 28.0, 14.0, 42.0, TextDirection.ltr));
     expect(boxes[8], const TextBox.fromLTRBD(14.0, 28.0, 28.0, 42.0, TextDirection.ltr));
-  }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61020
+  });
 
   test('Does not include the semantics node of truncated rendering children', () {
     // Regression test for https://github.com/flutter/flutter/issues/88180
@@ -794,34 +794,30 @@ void main() {
     expect(node.childrenCount, 2);
   });
 
-  test(
-    'assembleSemanticsNode handles empty WidgetSpans that do not yield selection boxes',
-    () {
-      final TextSpan text = TextSpan(
-        text: '',
-        children: <InlineSpan>[
-          TextSpan(text: 'A', recognizer: TapGestureRecognizer()..onTap = () {}),
-          const WidgetSpan(child: SizedBox.shrink()),
-          TextSpan(text: 'C', recognizer: TapGestureRecognizer()..onTap = () {}),
-        ],
-      );
-      final List<RenderBox> renderBoxes = <RenderBox>[
-        RenderParagraph(const TextSpan(text: 'b'), textDirection: TextDirection.ltr),
-      ];
-      final RenderParagraph paragraph = RenderParagraphWithEmptyBoxListForWidgetSpan(
-        text,
-        children: renderBoxes,
-        textDirection: TextDirection.ltr,
-      );
-      _applyParentData(renderBoxes, paragraph.text);
-      layout(paragraph);
+  test('assembleSemanticsNode handles empty WidgetSpans that do not yield selection boxes', () {
+    final TextSpan text = TextSpan(
+      text: '',
+      children: <InlineSpan>[
+        TextSpan(text: 'A', recognizer: TapGestureRecognizer()..onTap = () {}),
+        const WidgetSpan(child: SizedBox.shrink()),
+        TextSpan(text: 'C', recognizer: TapGestureRecognizer()..onTap = () {}),
+      ],
+    );
+    final List<RenderBox> renderBoxes = <RenderBox>[
+      RenderParagraph(const TextSpan(text: 'b'), textDirection: TextDirection.ltr),
+    ];
+    final RenderParagraph paragraph = RenderParagraphWithEmptyBoxListForWidgetSpan(
+      text,
+      children: renderBoxes,
+      textDirection: TextDirection.ltr,
+    );
+    _applyParentData(renderBoxes, paragraph.text);
+    layout(paragraph);
 
-      final SemanticsNode node = SemanticsNode();
-      paragraph.assembleSemanticsNode(node, SemanticsConfiguration(), <SemanticsNode>[]);
-      expect(node.childrenCount, 2);
-    },
-    skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
-  );
+    final SemanticsNode node = SemanticsNode();
+    paragraph.assembleSemanticsNode(node, SemanticsConfiguration(), <SemanticsNode>[]);
+    expect(node.childrenCount, 2);
+  });
 
   test('Basic TextSpan Hit testing', () {
     final TextSpan textSpanA = TextSpan(text: 'A' * 10);
@@ -1064,7 +1060,7 @@ void main() {
       expect(paintingContext.canvas.drawnRect!.isEmpty, false);
       expect(paintingContext.canvas.drawnRectPaint!.style, PaintingStyle.fill);
       expect(paintingContext.canvas.drawnRectPaint!.color, isSameColorAs(selectionColor));
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61016
+    });
 
     test('getPositionForOffset works', () async {
       final RenderParagraph paragraph = RenderParagraph(
diff --git a/packages/flutter/test/widgets/selectable_region_test.dart b/packages/flutter/test/widgets/selectable_region_test.dart
index 27e85bd6b35..0becfed6432 100644
--- a/packages/flutter/test/widgets/selectable_region_test.dart
+++ b/packages/flutter/test/widgets/selectable_region_test.dart
@@ -87,7 +87,7 @@ void main() {
       expect(endEdge.globalPosition, const Offset(100.0, 100.0));
 
       await gesture.up();
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/102410.
+    });
 
     testWidgets('mouse double click sends select-word event', (WidgetTester tester) async {
       final UniqueKey spy = UniqueKey();
@@ -368,7 +368,6 @@ void main() {
         expect(pageController.page, 1.0);
       },
       variant: TargetPlatformVariant.only(TargetPlatform.iOS),
-      skip: kIsWeb, // https://github.com/flutter/flutter/issues/125582.
     );
 
     testWidgets(
@@ -485,7 +484,7 @@ void main() {
         (renderSelectionSpy.events[1] as SelectionEdgeUpdateEvent).type,
         SelectionEventType.endEdgeUpdate,
       );
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/102410.
+    });
 
     testWidgets('touch long press sends select-word event', (WidgetTester tester) async {
       final UniqueKey spy = UniqueKey();
@@ -1317,7 +1316,7 @@ void main() {
         await tester.pumpAndSettle();
       },
       variant: TargetPlatformVariant.only(TargetPlatform.iOS),
-      skip: true, // https://github.com/flutter/flutter/issues/125582.
+      skip: !kIsWeb, // [intended] This test verifies web behavior.
     );
 
     testWidgets(
@@ -1414,7 +1413,6 @@ void main() {
         await tester.pumpAndSettle();
       },
       variant: TargetPlatformVariant.all(),
-      skip: kIsWeb, // https://github.com/flutter/flutter/issues/125582.
     );
 
     testWidgets('RenderParagraph should invalidate cached bounding boxes', (
@@ -1477,7 +1475,7 @@ void main() {
       // Should select "Good" again.
       expect(paragraph.selections.isEmpty, isFalse);
       expect(paragraph.selections[0], const TextSelection(baseOffset: 25, extentOffset: 29));
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/125582.
+    });
 
     testWidgets('mouse can select single text on desktop platforms', (WidgetTester tester) async {
       await tester.pumpWidget(
@@ -1737,7 +1735,7 @@ void main() {
       await tester.pump();
       expect(paragraph.selections[0], const TextSelection(baseOffset: 4, extentOffset: 11));
       await gesture.up();
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/125582.
+    });
 
     testWidgets('mouse can select multiple widgets on double click drag', (
       WidgetTester tester,
@@ -1793,7 +1791,7 @@ void main() {
       expect(paragraph3.selections[0], const TextSelection(baseOffset: 0, extentOffset: 11));
 
       await gesture.up();
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/125582.
+    });
 
     testWidgets(
       'mouse can select multiple widgets on double click drag and return to origin word',
@@ -1862,8 +1860,6 @@ void main() {
 
         await gesture.up();
       },
-      // https://github.com/flutter/flutter/issues/125582.
-      skip: kIsWeb,
     );
 
     testWidgets('mouse can reverse selection across multiple widgets on double click drag', (
@@ -1919,7 +1915,7 @@ void main() {
       expect(paragraph1.selections[0], const TextSelection(baseOffset: 12, extentOffset: 4));
 
       await gesture.up();
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/125582.
+    });
 
     testWidgets('mouse can select paragraph-by-paragraph on triple click drag', (
       WidgetTester tester,
@@ -2002,7 +1998,7 @@ void main() {
       await tester.pump();
       expect(paragraph.selections[0], const TextSelection(baseOffset: 257, extentOffset: 0));
       await gesture.up();
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/125582.
+    });
 
     testWidgets(
       'mouse can select multiple widgets on triple click drag when selecting inside a WidgetSpan',
@@ -2075,7 +2071,6 @@ void main() {
 
         await gesture.up();
       },
-      skip: kIsWeb, // https://github.com/flutter/flutter/issues/125582.
     );
 
     testWidgets('mouse can select multiple widgets on triple click drag', (
@@ -2158,7 +2153,7 @@ void main() {
       expect(paragraph3.selections[0], const TextSelection(baseOffset: 0, extentOffset: 47));
 
       await gesture.up();
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/125582.
+    });
 
     testWidgets(
       'mouse can select multiple widgets on triple click drag and return to origin paragraph',
@@ -2251,7 +2246,6 @@ void main() {
 
         await gesture.up();
       },
-      skip: kIsWeb, // https://github.com/flutter/flutter/issues/125582.
     );
 
     testWidgets('mouse can reverse selection across multiple widgets on triple click drag', (
@@ -2315,7 +2309,7 @@ void main() {
       expect(paragraph1.selections[0], const TextSelection(baseOffset: 43, extentOffset: 0));
 
       await gesture.up();
-    }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/125582.
+    });
 
     testWidgets('mouse can select multiple widgets', (WidgetTester tester) async {
       await tester.pumpWidget(
@@ -3684,7 +3678,6 @@ void main() {
         TargetPlatform.linux,
         TargetPlatform.fuchsia,
       }),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets(
@@ -3743,7 +3736,6 @@ void main() {
         TargetPlatform.linux,
         TargetPlatform.fuchsia,
       }),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets(
@@ -3799,7 +3791,6 @@ void main() {
         TargetPlatform.linux,
         TargetPlatform.fuchsia,
       }),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets(
@@ -3848,7 +3839,6 @@ void main() {
         expect(innerParagraph.selections[0], const TextSelection(baseOffset: 6, extentOffset: 9));
       },
       variant: TargetPlatformVariant.only(TargetPlatform.macOS),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets(
@@ -3898,7 +3888,6 @@ void main() {
         expect(tester.takeException(), isNull);
       },
       variant: TargetPlatformVariant.only(TargetPlatform.macOS),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets(
@@ -3949,7 +3938,6 @@ void main() {
         expect(paragraph.selections[0], const TextSelection(baseOffset: 124, extentOffset: 129));
       },
       variant: TargetPlatformVariant.only(TargetPlatform.macOS),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets(
@@ -3999,7 +3987,6 @@ void main() {
         expect(paragraph.selections[0], const TextSelection(baseOffset: 124, extentOffset: 129));
       },
       variant: TargetPlatformVariant.only(TargetPlatform.macOS),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets(
@@ -4053,7 +4040,6 @@ void main() {
         TargetPlatform.linux,
         TargetPlatform.fuchsia,
       }),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets(
@@ -4105,7 +4091,6 @@ void main() {
         TargetPlatform.iOS,
         TargetPlatform.macOS,
       }),
-      skip: isBrowser, // https://github.com/flutter/flutter/issues/61020
     );
 
     testWidgets('mouse can select across bidi text', (WidgetTester tester) async {
@@ -4155,7 +4140,7 @@ void main() {
       expect(paragraph3.selections[0], const TextSelection(baseOffset: 0, extentOffset: 6));
 
       await gesture.up();
-    }, skip: isBrowser); // https://github.com/flutter/flutter/issues/61020
+    });
 
     testWidgets('long press and drag touch moves selection word by word', (
       WidgetTester tester,
@@ -5516,7 +5501,7 @@ void main() {
     expect(paragraph1.selections, isEmpty);
     expect(paragraph2.selections, isEmpty);
     expect(paragraph3.selections, isEmpty);
-  }, skip: kIsWeb); // https://github.com/flutter/flutter/issues/125582.
+  });
 
   testWidgets(
     'Text processing actions are added to the toolbar',