diff --git a/pandas-stubs/core/series.pyi b/pandas-stubs/core/series.pyi
index e573608ae..d46b0b8c0 100644
--- a/pandas-stubs/core/series.pyi
+++ b/pandas-stubs/core/series.pyi
@@ -25,6 +25,7 @@ from typing import (
 )
 
 from _typing import (
+    Label,
     ReplaceValue,
     TimeZones,
 )
@@ -1043,7 +1044,7 @@ class Series(IndexOpsMixin[S1], NDFrame):
     @overload
     def rename(
         self,
-        index: Renamer | Hashable | None = ...,
+        index: Callable[[Any], Label],
         *,
         axis: Axis | None = ...,
         copy: bool = ...,
@@ -1054,7 +1055,29 @@ class Series(IndexOpsMixin[S1], NDFrame):
     @overload
     def rename(
         self,
-        index: Renamer | Hashable | None = ...,
+        index: Mapping[Any, Label],
+        *,
+        axis: Axis | None = ...,
+        copy: bool = ...,
+        inplace: Literal[True],
+        level: Level | None = ...,
+        errors: IgnoreRaise = ...,
+    ) -> None: ...
+    @overload
+    def rename(
+        self,
+        index: Scalar | tuple[Hashable, ...] | None = None,
+        *,
+        axis: Axis | None = ...,
+        copy: bool = ...,
+        inplace: Literal[True],
+        level: Level | None = ...,
+        errors: IgnoreRaise = ...,
+    ) -> Self: ...
+    @overload
+    def rename(
+        self,
+        index: Renamer | Scalar | tuple[Hashable, ...] | None = ...,
         *,
         axis: Axis | None = ...,
         copy: bool = ...,
diff --git a/tests/test_series.py b/tests/test_series.py
index 0c700fcbd..9047a13ad 100644
--- a/tests/test_series.py
+++ b/tests/test_series.py
@@ -1137,7 +1137,7 @@ def test_types_set_flags() -> None:
 
 def test_types_getitem() -> None:
     s = pd.Series({"key": [0, 1, 2, 3]})
-    key: list[int] = s["key"]
+    check(assert_type(s["key"], Any), list)
     s2 = pd.Series([0, 1, 2, 3])
     check(assert_type(s2[0], int), np.integer)
     check(assert_type(s[:2], pd.Series), pd.Series)
@@ -1180,12 +1180,28 @@ def test_types_rename_axis() -> None:
 
 
 def test_types_values() -> None:
-    n1: np.ndarray | ExtensionArray = pd.Series([1, 2, 3]).values
-    n2: np.ndarray | ExtensionArray = pd.Series(list("aabc")).values
-    n3: np.ndarray | ExtensionArray = pd.Series(list("aabc")).astype("category").values
-    n4: np.ndarray | ExtensionArray = pd.Series(
-        pd.date_range("20130101", periods=3, tz="US/Eastern")
-    ).values
+    check(
+        assert_type(pd.Series([1, 2, 3]).values, Union[ExtensionArray, np.ndarray]),
+        np.ndarray,
+    )
+    check(
+        assert_type(pd.Series(list("aabc")).values, Union[np.ndarray, ExtensionArray]),
+        np.ndarray,
+    )
+    check(
+        assert_type(
+            pd.Series(list("aabc")).astype("category").values,
+            Union[np.ndarray, ExtensionArray],
+        ),
+        pd.Categorical,
+    )
+    check(
+        assert_type(
+            pd.Series(pd.date_range("20130101", periods=3, tz="US/Eastern")).values,
+            Union[np.ndarray, ExtensionArray],
+        ),
+        np.ndarray,
+    )
 
 
 def test_types_rename() -> None:
@@ -1211,11 +1227,29 @@ def add1(x: int) -> int:
     s5 = pd.Series([1, 2, 3]).rename({1: 10})
     check(assert_type(s5, "pd.Series[int]"), pd.Series, np.integer)
     # inplace
-    # TODO fix issue with inplace=True returning a Series, cf pandas #60942
-    s6: None = pd.Series([1, 2, 3]).rename("A", inplace=True)
+    check(
+        assert_type(pd.Series([1, 2, 3]).rename("A", inplace=True), "pd.Series[int]"),
+        pd.Series,
+        np.integer,
+    )
+    check(
+        assert_type(pd.Series([1, 2, 3]).rename({1: 4, 2: 5}, inplace=True), None),
+        type(None),
+    )
+    check(
+        assert_type(
+            pd.Series([1, 2, 3]).rename(index=None, inplace=True), "pd.Series[int]"
+        ),
+        pd.Series,
+        np.integer,
+    )
+    check(
+        assert_type(pd.Series([1, 2, 3]).rename(lambda x: x**2, inplace=True), None),
+        type(None),
+    )
 
     if TYPE_CHECKING_INVALID_USAGE:
-        s7 = pd.Series([1, 2, 3]).rename({1: [3, 4, 5]})  # type: ignore[arg-type] # pyright: ignore[reportArgumentType]
+        s7 = pd.Series([1, 2, 3]).rename({1: [3, 4, 5]})  # type: ignore[dict-item] # pyright: ignore[reportArgumentType]
 
 
 def test_types_ne() -> None: