diff --git a/Lib/test/test_codecencodings_tw.py b/Lib/test/test_codecencodings_tw.py
index bb1d133ca..636541d5e 100644
--- a/Lib/test/test_codecencodings_tw.py
+++ b/Lib/test/test_codecencodings_tw.py
@@ -18,5 +18,81 @@ class Test_Big5(multibytecodec_support.TestBase, unittest.TestCase):
         (b"abc\x80\x80\xc1\xc4", "ignore",  "abc\u8b10"),
     )
 
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_callback_None_index(self):
+        return super().test_callback_None_index()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_callback_backward_index(self):
+        return super().test_callback_backward_index()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_callback_forward_index(self):
+        return super().test_callback_forward_index()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_callback_index_outofbound(self):
+        return super().test_callback_index_outofbound()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_callback_long_index(self):
+        return super().test_callback_long_index()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_callback_returns_bytes(self):
+        return super().test_callback_returns_bytes()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_callback_wrong_objects(self):
+        return super().test_callback_wrong_objects()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_chunkcoding(self):
+        return super().test_chunkcoding()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_customreplace_encode(self):
+        return super().test_customreplace_encode()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_errorhandle(self):
+        return super().test_errorhandle()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_incrementaldecoder(self):
+        return super().test_incrementaldecoder()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_incrementalencoder(self):
+        return super().test_incrementalencoder()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_incrementalencoder_del_segfault(self):
+        return super().test_incrementalencoder_del_segfault()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_incrementalencoder_error_callback(self):
+        return super().test_incrementalencoder_error_callback()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_null_terminator(self):
+        return super().test_null_terminator()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_streamreader(self):
+        return super().test_streamreader()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_streamwriter(self):
+        return super().test_streamwriter()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_streamwriter_reset_no_pending(self):
+        return super().test_streamwriter_reset_no_pending()
+
+    @unittest.expectedFailure  # TODO: RUSTPYTHON; LookupError: unknown encoding: big5
+    def test_xmlcharrefreplace(self):
+        return super().test_xmlcharrefreplace()
+
 if __name__ == "__main__":
     unittest.main()