diff --git a/stdlib/asyncio/events.pyi b/stdlib/asyncio/events.pyi
index 491410977963..c86c0a99182e 100644
--- a/stdlib/asyncio/events.pyi
+++ b/stdlib/asyncio/events.pyi
@@ -55,6 +55,11 @@ class TimerHandle(Handle):
     if sys.version_info >= (3, 7):
         def when(self) -> float: ...
 
+    def __lt__(self, other: TimerHandle) -> bool: ...
+    def __le__(self, other: TimerHandle) -> bool: ...
+    def __gt__(self, other: TimerHandle) -> bool: ...
+    def __ge__(self, other: TimerHandle) -> bool: ...
+
 class AbstractServer:
     @abstractmethod
     def close(self) -> None: ...
diff --git a/stdlib/collections/__init__.pyi b/stdlib/collections/__init__.pyi
index 36849f40a7c0..5b8fdbe01505 100644
--- a/stdlib/collections/__init__.pyi
+++ b/stdlib/collections/__init__.pyi
@@ -220,6 +220,10 @@ class deque(MutableSequence[_T], Generic[_T]):
     def __add__(self: Self, __other: Self) -> Self: ...
     def __mul__(self: Self, __other: int) -> Self: ...
     def __imul__(self: Self, __other: int) -> Self: ...
+    def __lt__(self, __other: deque[_T]) -> bool: ...
+    def __le__(self, __other: deque[_T]) -> bool: ...
+    def __gt__(self, __other: deque[_T]) -> bool: ...
+    def __ge__(self, __other: deque[_T]) -> bool: ...
     if sys.version_info >= (3, 9):
         def __class_getitem__(cls, __item: Any) -> GenericAlias: ...
 
@@ -266,6 +270,10 @@ class Counter(dict[_T, int], Generic[_T]):
     def __ior__(self: Self, other: Counter[_T]) -> Self: ...  # type: ignore[override]
     if sys.version_info >= (3, 10):
         def total(self) -> int: ...
+        def __le__(self, other: Counter[object]) -> bool: ...
+        def __lt__(self, other: Counter[object]) -> bool: ...
+        def __ge__(self, other: Counter[object]) -> bool: ...
+        def __gt__(self, other: Counter[object]) -> bool: ...
 
 @final
 class _OrderedDictKeysView(dict_keys[_KT_co, _VT_co], Reversible[_KT_co]):  # type: ignore[misc]
diff --git a/stdlib/tracemalloc.pyi b/stdlib/tracemalloc.pyi
index 0af707bb584b..3b6e7f676d90 100644
--- a/stdlib/tracemalloc.pyi
+++ b/stdlib/tracemalloc.pyi
@@ -1,6 +1,6 @@
 import sys
 from _tracemalloc import *
-from typing import Optional, Sequence, Union, overload
+from typing import Any, Optional, Sequence, Union, overload
 from typing_extensions import SupportsIndex
 
 def get_object_traceback(obj: object) -> Traceback | None: ...
@@ -41,6 +41,15 @@ class Frame:
     filename: str
     lineno: int
     def __init__(self, frame: _FrameTupleT) -> None: ...
+    def __lt__(self, other: Frame) -> bool: ...
+    if sys.version_info >= (3, 11):
+        def __gt__(self, other: Frame) -> bool: ...
+        def __ge__(self, other: Frame) -> bool: ...
+        def __le__(self, other: Frame) -> bool: ...
+    else:
+        def __gt__(self, other: Frame, NotImplemented: Any = ...) -> bool: ...
+        def __ge__(self, other: Frame, NotImplemented: Any = ...) -> bool: ...
+        def __le__(self, other: Frame, NotImplemented: Any = ...) -> bool: ...
 
 if sys.version_info >= (3, 9):
     _TraceTupleT = Union[tuple[int, int, Sequence[_FrameTupleT], Optional[int]], tuple[int, int, Sequence[_FrameTupleT]]]
@@ -69,6 +78,15 @@ class Traceback(Sequence[Frame]):
     @overload
     def __getitem__(self, s: slice) -> Sequence[Frame]: ...
     def __len__(self) -> int: ...
+    def __lt__(self, other: Traceback) -> bool: ...
+    if sys.version_info >= (3, 11):
+        def __gt__(self, other: Traceback) -> bool: ...
+        def __ge__(self, other: Traceback) -> bool: ...
+        def __le__(self, other: Traceback) -> bool: ...
+    else:
+        def __gt__(self, other: Traceback, NotImplemented: Any = ...) -> bool: ...
+        def __ge__(self, other: Traceback, NotImplemented: Any = ...) -> bool: ...
+        def __le__(self, other: Traceback, NotImplemented: Any = ...) -> bool: ...
 
 class Snapshot:
     def __init__(self, traces: Sequence[_TraceTupleT], traceback_limit: int) -> None: ...
diff --git a/stdlib/urllib/request.pyi b/stdlib/urllib/request.pyi
index a69bd650c810..6d59c5d5bfde 100644
--- a/stdlib/urllib/request.pyi
+++ b/stdlib/urllib/request.pyi
@@ -92,6 +92,7 @@ class BaseHandler:
     parent: OpenerDirector
     def add_parent(self, parent: OpenerDirector) -> None: ...
     def close(self) -> None: ...
+    def __lt__(self, other: object) -> bool: ...
 
 class HTTPDefaultErrorHandler(BaseHandler):
     def http_error_default(
diff --git a/stdlib/xml/etree/ElementTree.pyi b/stdlib/xml/etree/ElementTree.pyi
index fa1c01c83411..4561fc82c704 100644
--- a/stdlib/xml/etree/ElementTree.pyi
+++ b/stdlib/xml/etree/ElementTree.pyi
@@ -111,6 +111,10 @@ PI: Callable[..., Element]
 class QName:
     text: str
     def __init__(self, text_or_uri: str, tag: str | None = ...) -> None: ...
+    def __lt__(self, other: QName | str) -> bool: ...
+    def __le__(self, other: QName | str) -> bool: ...
+    def __gt__(self, other: QName | str) -> bool: ...
+    def __ge__(self, other: QName | str) -> bool: ...
 
 class ElementTree:
     def __init__(self, element: Element | None = ..., file: _File | None = ...) -> None: ...