diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index e3f342a024f6c..e3f9f6dbb0025 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -4551,6 +4551,13 @@ def __getitem__(self, key):
         else:
             return result
 
+    def _getitem_slice(self: _IndexT, slobj: slice) -> _IndexT:
+        """
+        Fastpath for __getitem__ when we know we have a slice.
+        """
+        res = self._data[slobj]
+        return type(self)._simple_new(res, name=self._name)
+
     @final
     def _can_hold_identifiers_and_holds_name(self, name) -> bool:
         """
diff --git a/pandas/core/indexes/multi.py b/pandas/core/indexes/multi.py
index 1edc716a24872..fc3e404998b43 100644
--- a/pandas/core/indexes/multi.py
+++ b/pandas/core/indexes/multi.py
@@ -2101,6 +2101,24 @@ def __getitem__(self, key):
                 verify_integrity=False,
             )
 
+    def _getitem_slice(self: MultiIndex, slobj: slice) -> MultiIndex:
+        """
+        Fastpath for __getitem__ when we know we have a slice.
+        """
+        sortorder = None
+        if slobj.step is None or slobj.step > 0:
+            sortorder = self.sortorder
+
+        new_codes = [level_codes[slobj] for level_codes in self.codes]
+
+        return type(self)(
+            levels=self.levels,
+            codes=new_codes,
+            names=self._names,
+            sortorder=sortorder,
+            verify_integrity=False,
+        )
+
     @Appender(_index_shared_docs["take"] % _index_doc_kwargs)
     def take(
         self: MultiIndex, indices, axis=0, allow_fill=True, fill_value=None, **kwargs
diff --git a/pandas/core/indexes/range.py b/pandas/core/indexes/range.py
index 33525f19912d5..56093c2a399c2 100644
--- a/pandas/core/indexes/range.py
+++ b/pandas/core/indexes/range.py
@@ -817,6 +817,13 @@ def __getitem__(self, key):
         # fall back to Int64Index
         return super().__getitem__(key)
 
+    def _getitem_slice(self: RangeIndex, slobj: slice) -> RangeIndex:
+        """
+        Fastpath for __getitem__ when we know we have a slice.
+        """
+        res = self._range[slobj]
+        return type(self)._simple_new(res, name=self._name)
+
     @unpack_zerodim_and_defer("__floordiv__")
     def __floordiv__(self, other):
 
diff --git a/pandas/core/internals/array_manager.py b/pandas/core/internals/array_manager.py
index 906c95c825cab..63b78e6d030f2 100644
--- a/pandas/core/internals/array_manager.py
+++ b/pandas/core/internals/array_manager.py
@@ -788,6 +788,8 @@ def get_slice(self, slobj: slice, axis: int = 0) -> ArrayManager:
 
         return type(self)(arrays, new_axes, verify_integrity=False)
 
+    getitem_mgr = get_slice
+
     def fast_xs(self, loc: int) -> ArrayLike:
         """
         Return the array corresponding to `frame.iloc[loc]`.
diff --git a/pandas/core/internals/blocks.py b/pandas/core/internals/blocks.py
index a11ca0aa82b29..f0d7d7e441527 100644
--- a/pandas/core/internals/blocks.py
+++ b/pandas/core/internals/blocks.py
@@ -368,7 +368,7 @@ def getitem_block(self, slicer, new_mgr_locs=None) -> Block:
         """
         Perform __getitem__-like, return result as block.
 
-        As of now, only supports slices that preserve dimensionality.
+        Only supports slices that preserve dimensionality.
         """
         if new_mgr_locs is None:
             axis0_slicer = slicer[0] if isinstance(slicer, tuple) else slicer
diff --git a/pandas/core/internals/managers.py b/pandas/core/internals/managers.py
index 8b08a5fd70537..2daa1ce8dc9a4 100644
--- a/pandas/core/internals/managers.py
+++ b/pandas/core/internals/managers.py
@@ -802,6 +802,7 @@ def _combine(
         return type(self).from_blocks(new_blocks, axes)
 
     def get_slice(self, slobj: slice, axis: int = 0) -> BlockManager:
+        assert isinstance(slobj, slice), type(slobj)
 
         if axis == 0:
             new_blocks = self._slice_take_blocks_ax0(slobj)
@@ -812,7 +813,7 @@ def get_slice(self, slobj: slice, axis: int = 0) -> BlockManager:
             raise IndexError("Requested axis not found in manager")
 
         new_axes = list(self.axes)
-        new_axes[axis] = new_axes[axis][slobj]
+        new_axes[axis] = new_axes[axis]._getitem_slice(slobj)
 
         return type(self)._simple_new(tuple(new_blocks), new_axes)
 
@@ -1201,7 +1202,9 @@ def value_getitem(placement):
             # Newly created block's dtype may already be present.
             self._known_consolidated = False
 
-    def insert(self, loc: int, item: Hashable, value, allow_duplicates: bool = False):
+    def insert(
+        self, loc: int, item: Hashable, value: ArrayLike, allow_duplicates: bool = False
+    ):
         """
         Insert item at selected position.
 
@@ -1209,7 +1212,7 @@ def insert(self, loc: int, item: Hashable, value, allow_duplicates: bool = False
         ----------
         loc : int
         item : hashable
-        value : array_like
+        value : np.ndarray or ExtensionArray
         allow_duplicates: bool
             If False, trying to insert non-unique item will raise
 
@@ -1226,11 +1229,9 @@ def insert(self, loc: int, item: Hashable, value, allow_duplicates: bool = False
 
         if value.ndim == 2:
             value = value.T
-        elif value.ndim == self.ndim - 1:
-            # TODO(EA2D): special case not needed with 2D EAs
-            value = ensure_block_shape(value, ndim=2)
+        else:
+            value = ensure_block_shape(value, ndim=self.ndim)
 
-        # TODO: type value as ArrayLike
         block = new_block(values=value, ndim=self.ndim, placement=slice(loc, loc + 1))
 
         for blkno, count in _fast_count_smallints(self.blknos[loc:]):
@@ -1367,6 +1368,7 @@ def _slice_take_blocks_ax0(
                 # TODO(EA2D): special casing unnecessary with 2D EAs
                 if sllen == 0:
                     return []
+                # TODO: tests all have isinstance(slobj, slice), other possibilities?
                 return [blk.getitem_block(slobj, new_mgr_locs=slice(0, sllen))]
             elif not allow_fill or self.ndim == 1:
                 if allow_fill and fill_value is None:
@@ -1376,9 +1378,11 @@ def _slice_take_blocks_ax0(
                     # GH#33597 slice instead of take, so we get
                     #  views instead of copies
                     blocks = [
-                        blk.getitem_block([ml], new_mgr_locs=i)
+                        blk.getitem_block(slice(ml, ml + 1), new_mgr_locs=i)
                         for i, ml in enumerate(slobj)
                     ]
+                    # We have
+                    #  all(np.shares_memory(nb.values, blk.values) for nb in blocks)
                     return blocks
                 else:
                     return [
@@ -1440,7 +1444,8 @@ def _slice_take_blocks_ax0(
                         # GH#33597 slice instead of take, so we get
                         #  views instead of copies
                         for i, ml in zip(taker, mgr_locs):
-                            nb = blk.getitem_block([i], new_mgr_locs=ml)
+                            nb = blk.getitem_block(slice(i, i + 1), new_mgr_locs=ml)
+                            # We have np.shares_memory(nb.values, blk.values)
                             blocks.append(nb)
                     else:
                         nb = blk.take_nd(taker, axis=0, new_mgr_locs=mgr_locs)
@@ -1604,14 +1609,23 @@ def _blklocs(self):
         """ compat with BlockManager """
         return None
 
+    def getitem_mgr(self, indexer) -> SingleBlockManager:
+        # similar to get_slice, but not restricted to slice indexer
+        blk = self._block
+        array = blk._slice(indexer)
+        block = blk.make_block_same_class(array, placement=slice(0, len(array)))
+        return type(self)(block, self.index[indexer])
+
     def get_slice(self, slobj: slice, axis: int = 0) -> SingleBlockManager:
+        assert isinstance(slobj, slice), type(slobj)
         if axis >= self.ndim:
             raise IndexError("Requested axis not found in manager")
 
         blk = self._block
         array = blk._slice(slobj)
         block = blk.make_block_same_class(array, placement=slice(0, len(array)))
-        return type(self)(block, self.index[slobj])
+        new_index = self.index._getitem_slice(slobj)
+        return type(self)(block, new_index)
 
     @property
     def index(self) -> Index:
@@ -1975,6 +1989,7 @@ def _preprocess_slice_or_indexer(slice_or_indexer, length: int, allow_fill: bool
     ):
         return "mask", slice_or_indexer, slice_or_indexer.sum()
     else:
+        # TODO: np.intp?
         indexer = np.asanyarray(slice_or_indexer, dtype=np.int64)
         if not allow_fill:
             indexer = maybe_convert_indices(indexer, length)
diff --git a/pandas/core/series.py b/pandas/core/series.py
index a25178402cf6b..468c3baca92c3 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -983,7 +983,8 @@ def _get_values_tuple(self, key):
 
     def _get_values(self, indexer):
         try:
-            return self._constructor(self._mgr.get_slice(indexer)).__finalize__(self)
+            new_mgr = self._mgr.getitem_mgr(indexer)
+            return self._constructor(new_mgr).__finalize__(self)
         except ValueError:
             # mpl compat if we look up e.g. ser[:, np.newaxis];
             #  see tests.series.timeseries.test_mpl_compat_hack
diff --git a/pandas/tests/internals/test_internals.py b/pandas/tests/internals/test_internals.py
index 683006d9b3b9c..a7f318498a8ac 100644
--- a/pandas/tests/internals/test_internals.py
+++ b/pandas/tests/internals/test_internals.py
@@ -823,7 +823,16 @@ def assert_slice_ok(mgr, axis, slobj):
                     slobj = np.concatenate(
                         [slobj, np.zeros(len(ax) - len(slobj), dtype=bool)]
                     )
-            sliced = mgr.get_slice(slobj, axis=axis)
+
+            if isinstance(slobj, slice):
+                sliced = mgr.get_slice(slobj, axis=axis)
+            elif mgr.ndim == 1 and axis == 0:
+                sliced = mgr.getitem_mgr(slobj)
+            else:
+                # BlockManager doesnt support non-slice, SingleBlockManager
+                #  doesnt support axis > 0
+                return
+
             mat_slobj = (slice(None),) * axis + (slobj,)
             tm.assert_numpy_array_equal(
                 mat[mat_slobj], sliced.as_array(), check_dtype=False