diff --git a/test/test_datasets.py b/test/test_datasets.py
index 22c14cbc08d..313bc4d103c 100644
--- a/test/test_datasets.py
+++ b/test/test_datasets.py
@@ -3596,7 +3596,9 @@ class MyVisionDataset(datasets.VisionDataset):
             datasets.wrap_dataset_for_transforms_v2(dataset)
 
     def test_missing_wrapper(self):
-        dataset = datasets.FakeData()
+        # Use an official dataset that is not registered for transforms v2 wrapping.
+        # Construct via ``__new__`` so the test does not require dataset files.
+        dataset = datasets.SBU.__new__(datasets.SBU)
 
         with pytest.raises(TypeError, match="please open an issue"):
             datasets.wrap_dataset_for_transforms_v2(dataset)
diff --git a/torchvision/tv_tensors/_dataset_wrapper.py b/torchvision/tv_tensors/_dataset_wrapper.py
index 23683221f60..84a1d5253a2 100644
--- a/torchvision/tv_tensors/_dataset_wrapper.py
+++ b/torchvision/tv_tensors/_dataset_wrapper.py
@@ -275,16 +275,40 @@ def classification_wrapper_factory(dataset, target_keys):
 
 
 for dataset_cls in [
-    datasets.Caltech256,
     datasets.CIFAR10,
     datasets.CIFAR100,
-    datasets.ImageNet,
-    datasets.MNIST,
+    datasets.CLEVRClassification,
+    datasets.Caltech256,
+    datasets.Country211,
+    datasets.DTD,
+    datasets.DatasetFolder,
+    datasets.EMNIST,
+    datasets.EuroSAT,
+    datasets.FER2013,
+    datasets.FGVCAircraft,
+    datasets.FakeData,
     datasets.FashionMNIST,
+    datasets.Flowers102,
+    datasets.Food101,
     datasets.GTSRB,
-    datasets.DatasetFolder,
+    datasets.INaturalist,
     datasets.ImageFolder,
+    datasets.ImageNet,
     datasets.Imagenette,
+    datasets.KMNIST,
+    datasets.LFWPeople,
+    datasets.MNIST,
+    datasets.Omniglot,
+    datasets.PCAM,
+    datasets.Places365,
+    datasets.QMNIST,
+    datasets.RenderedSST2,
+    datasets.SEMEION,
+    datasets.STL10,
+    datasets.SUN397,
+    datasets.SVHN,
+    datasets.StanfordCars,
+    datasets.USPS,
 ]:
     WRAPPER_FACTORIES.register(dataset_cls)(classification_wrapper_factory)