diff --git a/pandas/core/ops/docstrings.py b/pandas/core/ops/docstrings.py
index 5ce0a2da86f31..d97880f133306 100644
--- a/pandas/core/ops/docstrings.py
+++ b/pandas/core/ops/docstrings.py
@@ -435,8 +435,10 @@ def make_flex_doc(op_name: str, typ: str) -> str:
 
 Parameters
 ----------
-other : Series or scalar value
-    The second operand in this operation.
+other : object
+    When a Series is provided, will align on indexes. For all other types,
+    will behave the same as ``==`` but with possibly different results due
+    to the other arguments.
 level : int or name
     Broadcast across a level, matching Index values on the
     passed MultiIndex level.
diff --git a/pandas/core/series.py b/pandas/core/series.py
index 63c9963fb7eac..6b3bebceb9004 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -6072,8 +6072,10 @@ def eq(
 
         Parameters
         ----------
-        other : Series or scalar value
-            The second operand in this operation.
+        other : object
+            When a Series is provided, will align on indexes. For all other types,
+            will behave the same as ``==`` but with possibly different results due
+            to the other arguments.
         level : int or name
             Broadcast across a level, matching Index values on the
             passed MultiIndex level.
@@ -6141,8 +6143,10 @@ def le(self, other, level=None, fill_value=None, axis: Axis = 0) -> Series:
 
         Parameters
         ----------
-        other : Series or scalar value
-            The second operand in this operation.
+        other : object
+            When a Series is provided, will align on indexes. For all other types,
+            will behave the same as ``==`` but with possibly different results due
+            to the other arguments.
         level : int or name
             Broadcast across a level, matching Index values on the
             passed MultiIndex level.
@@ -6213,8 +6217,10 @@ def ge(self, other, level=None, fill_value=None, axis: Axis = 0) -> Series:
 
         Parameters
         ----------
-        other : Series or scalar value
-            The second operand in this operation.
+        other : object
+            When a Series is provided, will align on indexes. For all other types,
+            will behave the same as ``==`` but with possibly different results due
+            to the other arguments.
         level : int or name
             Broadcast across a level, matching Index values on the
             passed MultiIndex level.
diff --git a/pandas/tests/series/methods/test_compare.py b/pandas/tests/series/methods/test_compare.py
index 2a57d5139b62c..fdc717d9fe74c 100644
--- a/pandas/tests/series/methods/test_compare.py
+++ b/pandas/tests/series/methods/test_compare.py
@@ -1,3 +1,8 @@
+from enum import (
+    Enum,
+    auto,
+)
+
 import numpy as np
 import pytest
 
@@ -138,3 +143,47 @@ def test_compare_datetime64_and_string():
     tm.assert_series_equal(result_eq1, expected_eq)
     tm.assert_series_equal(result_eq2, expected_eq)
     tm.assert_series_equal(result_neq, expected_neq)
+
+
+def test_eq_objects():
+    """Test eq with Enum and List elements"""
+
+    class Thing(Enum):
+        FIRST = auto()
+        SECOND = auto()
+
+    left = pd.Series([Thing.FIRST, Thing.SECOND])
+    tm.assert_series_equal(left.eq(Thing.FIRST), left == Thing.FIRST)
+
+    py_l = [Thing.FIRST, Thing.SECOND]
+    tm.assert_series_equal(left.eq(py_l), left == py_l)
+
+    np_a = np.asarray(py_l)
+    tm.assert_series_equal(left.eq(np_a), left == np_a)
+
+    pd_s = pd.Series(py_l)
+    tm.assert_series_equal(left.eq(pd_s), left == pd_s)
+
+    left_non_scalar = pd.Series([[1, 2], [3, 4]])
+    with pytest.raises(AssertionError):
+        tm.assert_series_equal(left_non_scalar.eq([1, 2]), pd.Series([True, False]))
+
+
+def test_eq_with_index():
+    """Test eq with non-trivial indices"""
+    left = pd.Series([1, 2], index=[1, 0])
+
+    py_l = [1, 2]
+    tm.assert_series_equal(left.eq(py_l), left == py_l)
+
+    np_a = np.asarray(py_l)
+    tm.assert_series_equal(left.eq(np_a), left == np_a)
+
+    pd_s = pd.Series(py_l)
+    tm.assert_series_equal(left.eq(pd_s), pd.Series([False, False]))
+
+    match = r"Can only compare identically-labeled Series objects"
+    with pytest.raises(ValueError, match=match):
+        _ = left == pd_s
+
+    tm.assert_series_equal(left.eq(pd.Series([2, 1])), pd.Series([True, True]))