diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index 64c5b735fdc8d..962e7cc86a98b 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -254,13 +254,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         pandas.util.hash_pandas_object \
         pandas_object \
         pandas.api.interchange.from_dataframe \
-        pandas.Index.drop \
-        pandas.Index.identical \
-        pandas.Index.insert \
-        pandas.Index.is_ \
-        pandas.Index.take \
-        pandas.Index.putmask \
-        pandas.Index.unique \
         pandas.Index.fillna \
         pandas.Index.dropna \
         pandas.Index.astype \
diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index 174c6625fb779..aa8bfb667f5be 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -799,6 +799,15 @@ def is_(self, other) -> bool:
         See Also
         --------
         Index.identical : Works like ``Index.is_`` but also checks metadata.
+
+        Examples
+        --------
+        >>> idx1 = pd.Index(['1', '2', '3'])
+        >>> idx1.is_(idx1.view())
+        True
+
+        >>> idx1.is_(idx1.copy())
+        False
         """
         if self is other:
             return True
@@ -1089,6 +1098,12 @@ def astype(self, dtype, copy: bool = True):
         --------
         numpy.ndarray.take: Return an array formed from the
             elements of a at the given indices.
+
+        Examples
+        --------
+        >>> idx = pd.Index(['a', 'b', 'c'])
+        >>> idx.take([2, 2, 1, 2])
+        Index(['c', 'c', 'b', 'c'], dtype='object')
         """
 
     @Appender(_index_shared_docs["take"] % _index_doc_kwargs)
@@ -2966,6 +2981,12 @@ def unique(self, level: Hashable | None = None) -> Self:
         --------
         unique : Numpy array of unique values in that column.
         Series.unique : Return unique values of Series object.
+
+        Examples
+        --------
+        >>> idx = pd.Index([1, 1, 2, 3, 3])
+        >>> idx.unique()
+        Index([1, 2, 3], dtype='int64')
         """
         if level is not None:
             self._validate_index_level(level)
@@ -5345,6 +5366,13 @@ def putmask(self, mask, value) -> Index:
         --------
         numpy.ndarray.putmask : Changes elements of an array
             based on conditional and input values.
+
+        Examples
+        --------
+        >>> idx1 = pd.Index([1, 2, 3])
+        >>> idx2 = pd.Index([5, 6, 7])
+        >>> idx1.putmask([True, False, False], idx2)
+        Index([5, 2, 3], dtype='int64')
         """
         mask, noop = validate_putmask(self._values, mask)
         if noop:
@@ -5474,6 +5502,18 @@ def identical(self, other) -> bool:
         bool
             If two Index objects have equal elements and same type True,
             otherwise False.
+
+        Examples
+        --------
+        >>> idx1 = pd.Index(['1', '2', '3'])
+        >>> idx2 = pd.Index(['1', '2', '3'])
+        >>> idx2.identical(idx1)
+        True
+
+        >>> idx1 = pd.Index(['1', '2', '3'], name="A")
+        >>> idx2 = pd.Index(['1', '2', '3'], name="B")
+        >>> idx2.identical(idx1)
+        False
         """
         return (
             self.equals(other)
@@ -6694,6 +6734,12 @@ def insert(self, loc: int, item) -> Index:
         Returns
         -------
         Index
+
+        Examples
+        --------
+        >>> idx = pd.Index(['a', 'b', 'c'])
+        >>> idx.insert(1, 'x')
+        Index(['a', 'x', 'b', 'c'], dtype='object')
         """
         item = lib.item_from_zerodim(item)
         if is_valid_na_for_dtype(item, self.dtype) and self.dtype != object:
@@ -6755,6 +6801,12 @@ def drop(
         ------
         KeyError
             If not all of the labels are found in the selected axis
+
+        Examples
+        --------
+        >>> idx = pd.Index(['a', 'b', 'c'])
+        >>> idx.drop(['a'])
+        Index(['b', 'c'], dtype='object')
         """
         if not isinstance(labels, Index):
             # avoid materializing e.g. RangeIndex