diff --git a/mypy/stubtest.py b/mypy/stubtest.py
index 906a8c923b37..b2506e6dcc02 100644
--- a/mypy/stubtest.py
+++ b/mypy/stubtest.py
@@ -1553,7 +1553,7 @@ def anytype() -> mypy.types.AnyType:
     value: bool | int | str
     if isinstance(runtime, bytes):
         value = bytes_to_human_readable_repr(runtime)
-    elif isinstance(runtime, enum.Enum):
+    elif isinstance(runtime, enum.Enum) and isinstance(runtime.name, str):
         value = runtime.name
     elif isinstance(runtime, (bool, int, str)):
         value = runtime
diff --git a/mypy/test/teststubtest.py b/mypy/test/teststubtest.py
index cd72bd9300d1..a6733a9e8bd0 100644
--- a/mypy/test/teststubtest.py
+++ b/mypy/test/teststubtest.py
@@ -64,6 +64,7 @@ def __init__(self, name: str) -> None: ...
 
 class Coroutine(Generic[_T_co, _S, _R]): ...
 class Iterable(Generic[_T_co]): ...
+class Iterator(Iterable[_T_co]): ...
 class Mapping(Generic[_K, _V]): ...
 class Match(Generic[AnyStr]): ...
 class Sequence(Iterable[_T_co]): ...
@@ -86,7 +87,9 @@ def __init__(self) -> None: pass
     def __repr__(self) -> str: pass
 class type: ...
 
-class tuple(Sequence[T_co], Generic[T_co]): ...
+class tuple(Sequence[T_co], Generic[T_co]):
+    def __ge__(self, __other: tuple[T_co, ...]) -> bool: pass
+
 class dict(Mapping[KT, VT]): ...
 
 class function: pass
@@ -105,6 +108,39 @@ def classmethod(f: T) -> T: ...
 def staticmethod(f: T) -> T: ...
 """
 
+stubtest_enum_stub = """
+import sys
+from typing import Any, TypeVar, Iterator
+
+_T = TypeVar('_T')
+
+class EnumMeta(type):
+    def __len__(self) -> int: pass
+    def __iter__(self: type[_T]) -> Iterator[_T]: pass
+    def __reversed__(self: type[_T]) -> Iterator[_T]: pass
+    def __getitem__(self: type[_T], name: str) -> _T: pass
+
+class Enum(metaclass=EnumMeta):
+    def __new__(cls: type[_T], value: object) -> _T: pass
+    def __repr__(self) -> str: pass
+    def __str__(self) -> str: pass
+    def __format__(self, format_spec: str) -> str: pass
+    def __hash__(self) -> Any: pass
+    def __reduce_ex__(self, proto: Any) -> Any: pass
+    name: str
+    value: Any
+
+class Flag(Enum):
+    def __or__(self: _T, other: _T) -> _T: pass
+    def __and__(self: _T, other: _T) -> _T: pass
+    def __xor__(self: _T, other: _T) -> _T: pass
+    def __invert__(self: _T) -> _T: pass
+    if sys.version_info >= (3, 11):
+        __ror__ = __or__
+        __rand__ = __and__
+        __rxor__ = __xor__
+"""
+
 
 def run_stubtest(
     stub: str, runtime: str, options: list[str], config_file: str | None = None
@@ -114,6 +150,8 @@ def run_stubtest(
             f.write(stubtest_builtins_stub)
         with open("typing.pyi", "w") as f:
             f.write(stubtest_typing_stub)
+        with open("enum.pyi", "w") as f:
+            f.write(stubtest_enum_stub)
         with open(f"{TEST_MODULE_NAME}.pyi", "w") as f:
             f.write(stub)
         with open(f"{TEST_MODULE_NAME}.py", "w") as f:
@@ -954,16 +992,15 @@ def fizz(self): pass
 
     @collect_cases
     def test_enum(self) -> Iterator[Case]:
+        yield Case(stub="import enum", runtime="import enum", error=None)
         yield Case(
             stub="""
-            import enum
             class X(enum.Enum):
                 a: int
                 b: str
                 c: str
             """,
             runtime="""
-            import enum
             class X(enum.Enum):
                 a = 1
                 b = "asdf"
@@ -971,6 +1008,66 @@ class X(enum.Enum):
             """,
             error="X.c",
         )
+        yield Case(
+            stub="""
+            class Flags1(enum.Flag):
+                a: int
+                b: int
+            def foo(x: Flags1 = ...) -> None: ...
+            """,
+            runtime="""
+            class Flags1(enum.Flag):
+                a = 1
+                b = 2
+            def foo(x=Flags1.a|Flags1.b): pass
+            """,
+            error=None,
+        )
+        yield Case(
+            stub="""
+            class Flags2(enum.Flag):
+                a: int
+                b: int
+            def bar(x: Flags2 | None = None) -> None: ...
+            """,
+            runtime="""
+            class Flags2(enum.Flag):
+                a = 1
+                b = 2
+            def bar(x=Flags2.a|Flags2.b): pass
+            """,
+            error="bar",
+        )
+        yield Case(
+            stub="""
+            class Flags3(enum.Flag):
+                a: int
+                b: int
+            def baz(x: Flags3 | None = ...) -> None: ...
+            """,
+            runtime="""
+            class Flags3(enum.Flag):
+                a = 1
+                b = 2
+            def baz(x=Flags3(0)): pass
+            """,
+            error=None,
+        )
+        yield Case(
+            stub="""
+            class Flags4(enum.Flag):
+                a: int
+                b: int
+            def spam(x: Flags4 | None = None) -> None: ...
+            """,
+            runtime="""
+            class Flags4(enum.Flag):
+                a = 1
+                b = 2
+            def spam(x=Flags4(0)): pass
+            """,
+            error="spam",
+        )
 
     @collect_cases
     def test_decorator(self) -> Iterator[Case]: