diff --git a/homeassistant/helpers/template.py b/homeassistant/helpers/template.py
index 0d017dda64f..70a94cfaaa9 100644
--- a/homeassistant/helpers/template.py
+++ b/homeassistant/helpers/template.py
@@ -2785,6 +2785,50 @@ def flatten(value: Iterable[Any], levels: int | None = None) -> list[Any]:
     return flattened
 
 
+def intersect(value: Iterable[Any], other: Iterable[Any]) -> list[Any]:
+    """Return the common elements between two lists."""
+    if not isinstance(value, Iterable) or isinstance(value, str):
+        raise TypeError(f"intersect expected a list, got {type(value).__name__}")
+    if not isinstance(other, Iterable) or isinstance(other, str):
+        raise TypeError(f"intersect expected a list, got {type(other).__name__}")
+
+    return list(set(value) & set(other))
+
+
+def difference(value: Iterable[Any], other: Iterable[Any]) -> list[Any]:
+    """Return elements in first list that are not in second list."""
+    if not isinstance(value, Iterable) or isinstance(value, str):
+        raise TypeError(f"difference expected a list, got {type(value).__name__}")
+    if not isinstance(other, Iterable) or isinstance(other, str):
+        raise TypeError(f"difference expected a list, got {type(other).__name__}")
+
+    return list(set(value) - set(other))
+
+
+def union(value: Iterable[Any], other: Iterable[Any]) -> list[Any]:
+    """Return all unique elements from both lists combined."""
+    if not isinstance(value, Iterable) or isinstance(value, str):
+        raise TypeError(f"union expected a list, got {type(value).__name__}")
+    if not isinstance(other, Iterable) or isinstance(other, str):
+        raise TypeError(f"union expected a list, got {type(other).__name__}")
+
+    return list(set(value) | set(other))
+
+
+def symmetric_difference(value: Iterable[Any], other: Iterable[Any]) -> list[Any]:
+    """Return elements that are in either list but not in both."""
+    if not isinstance(value, Iterable) or isinstance(value, str):
+        raise TypeError(
+            f"symmetric_difference expected a list, got {type(value).__name__}"
+        )
+    if not isinstance(other, Iterable) or isinstance(other, str):
+        raise TypeError(
+            f"symmetric_difference expected a list, got {type(other).__name__}"
+        )
+
+    return list(set(value) ^ set(other))
+
+
 def combine(*args: Any, recursive: bool = False) -> dict[Any, Any]:
     """Combine multiple dictionaries into one."""
     if not args:
@@ -2996,11 +3040,13 @@ class TemplateEnvironment(ImmutableSandboxedEnvironment):
         self.globals["bool"] = forgiving_boolean
         self.globals["combine"] = combine
         self.globals["cos"] = cosine
+        self.globals["difference"] = difference
         self.globals["e"] = math.e
         self.globals["flatten"] = flatten
         self.globals["float"] = forgiving_float
         self.globals["iif"] = iif
         self.globals["int"] = forgiving_int
+        self.globals["intersect"] = intersect
         self.globals["is_number"] = is_number
         self.globals["log"] = logarithm
         self.globals["max"] = min_max_from_filter(self.filters["max"], "max")
@@ -3020,11 +3066,13 @@ class TemplateEnvironment(ImmutableSandboxedEnvironment):
         self.globals["sqrt"] = square_root
         self.globals["statistical_mode"] = statistical_mode
         self.globals["strptime"] = strptime
+        self.globals["symmetric_difference"] = symmetric_difference
         self.globals["tan"] = tangent
         self.globals["tau"] = math.pi * 2
         self.globals["timedelta"] = timedelta
         self.globals["tuple"] = _to_tuple
         self.globals["typeof"] = typeof
+        self.globals["union"] = union
         self.globals["unpack"] = struct_unpack
         self.globals["urlencode"] = urlencode
         self.globals["version"] = version
@@ -3049,11 +3097,13 @@ class TemplateEnvironment(ImmutableSandboxedEnvironment):
         self.filters["combine"] = combine
         self.filters["contains"] = contains
         self.filters["cos"] = cosine
+        self.filters["difference"] = difference
         self.filters["flatten"] = flatten
         self.filters["float"] = forgiving_float_filter
         self.filters["from_json"] = from_json
         self.filters["iif"] = iif
         self.filters["int"] = forgiving_int_filter
+        self.filters["intersect"] = intersect
         self.filters["is_defined"] = fail_when_undefined
         self.filters["is_number"] = is_number
         self.filters["log"] = logarithm
@@ -3078,12 +3128,14 @@ class TemplateEnvironment(ImmutableSandboxedEnvironment):
         self.filters["slugify"] = slugify
         self.filters["sqrt"] = square_root
         self.filters["statistical_mode"] = statistical_mode
+        self.filters["symmetric_difference"] = symmetric_difference
         self.filters["tan"] = tangent
         self.filters["timestamp_custom"] = timestamp_custom
         self.filters["timestamp_local"] = timestamp_local
         self.filters["timestamp_utc"] = timestamp_utc
         self.filters["to_json"] = to_json
         self.filters["typeof"] = typeof
+        self.filters["union"] = union
         self.filters["unpack"] = struct_unpack
         self.filters["version"] = version
 
diff --git a/tests/helpers/test_template.py b/tests/helpers/test_template.py
index e4e73fc52d9..89d1c307fd7 100644
--- a/tests/helpers/test_template.py
+++ b/tests/helpers/test_template.py
@@ -6790,6 +6790,184 @@ def test_flatten(hass: HomeAssistant) -> None:
         template.Template("{{ flatten() }}", hass).async_render()
 
 
+def test_intersect(hass: HomeAssistant) -> None:
+    """Test the intersect function and filter."""
+    assert list(
+        template.Template(
+            "{{ intersect([1, 2, 5, 3, 4, 10], [1, 2, 3, 4, 5, 11, 99]) }}", hass
+        ).async_render()
+    ) == unordered([1, 2, 3, 4, 5])
+
+    assert list(
+        template.Template(
+            "{{ [1, 2, 5, 3, 4, 10] | intersect([1, 2, 3, 4, 5, 11, 99]) }}", hass
+        ).async_render()
+    ) == unordered([1, 2, 3, 4, 5])
+
+    assert list(
+        template.Template(
+            "{{ intersect(['a', 'b', 'c'], ['b', 'c', 'd']) }}", hass
+        ).async_render()
+    ) == unordered(["b", "c"])
+
+    assert list(
+        template.Template(
+            "{{ ['a', 'b', 'c'] | intersect(['b', 'c', 'd']) }}", hass
+        ).async_render()
+    ) == unordered(["b", "c"])
+
+    assert (
+        template.Template("{{ intersect([], [1, 2, 3]) }}", hass).async_render() == []
+    )
+
+    assert (
+        template.Template("{{ [] | intersect([1, 2, 3]) }}", hass).async_render() == []
+    )
+
+    with pytest.raises(TemplateError, match="intersect expected a list, got str"):
+        template.Template("{{ 'string' | intersect([1, 2, 3]) }}", hass).async_render()
+
+    with pytest.raises(TemplateError, match="intersect expected a list, got str"):
+        template.Template("{{ [1, 2, 3] | intersect('string') }}", hass).async_render()
+
+
+def test_difference(hass: HomeAssistant) -> None:
+    """Test the difference function and filter."""
+    assert list(
+        template.Template(
+            "{{ difference([1, 2, 5, 3, 4, 10], [1, 2, 3, 4, 5, 11, 99]) }}", hass
+        ).async_render()
+    ) == [10]
+
+    assert list(
+        template.Template(
+            "{{ [1, 2, 5, 3, 4, 10] | difference([1, 2, 3, 4, 5, 11, 99]) }}", hass
+        ).async_render()
+    ) == [10]
+
+    assert list(
+        template.Template(
+            "{{ difference(['a', 'b', 'c'], ['b', 'c', 'd']) }}", hass
+        ).async_render()
+    ) == ["a"]
+
+    assert list(
+        template.Template(
+            "{{ ['a', 'b', 'c'] | difference(['b', 'c', 'd']) }}", hass
+        ).async_render()
+    ) == ["a"]
+
+    assert (
+        template.Template("{{ difference([], [1, 2, 3]) }}", hass).async_render() == []
+    )
+
+    assert (
+        template.Template("{{ [] | difference([1, 2, 3]) }}", hass).async_render() == []
+    )
+
+    with pytest.raises(TemplateError, match="difference expected a list, got str"):
+        template.Template("{{ 'string' | difference([1, 2, 3]) }}", hass).async_render()
+
+    with pytest.raises(TemplateError, match="difference expected a list, got str"):
+        template.Template("{{ [1, 2, 3] | difference('string') }}", hass).async_render()
+
+
+def test_union(hass: HomeAssistant) -> None:
+    """Test the union function and filter."""
+    assert list(
+        template.Template(
+            "{{ union([1, 2, 5, 3, 4, 10], [1, 2, 3, 4, 5, 11, 99]) }}", hass
+        ).async_render()
+    ) == unordered([1, 2, 3, 4, 5, 10, 11, 99])
+
+    assert list(
+        template.Template(
+            "{{ [1, 2, 5, 3, 4, 10] | union([1, 2, 3, 4, 5, 11, 99]) }}", hass
+        ).async_render()
+    ) == unordered([1, 2, 3, 4, 5, 10, 11, 99])
+
+    assert list(
+        template.Template(
+            "{{ union(['a', 'b', 'c'], ['b', 'c', 'd']) }}", hass
+        ).async_render()
+    ) == unordered(["a", "b", "c", "d"])
+
+    assert list(
+        template.Template(
+            "{{ ['a', 'b', 'c'] | union(['b', 'c', 'd']) }}", hass
+        ).async_render()
+    ) == unordered(["a", "b", "c", "d"])
+
+    assert list(
+        template.Template("{{ union([], [1, 2, 3]) }}", hass).async_render()
+    ) == unordered([1, 2, 3])
+
+    assert list(
+        template.Template("{{ [] | union([1, 2, 3]) }}", hass).async_render()
+    ) == unordered([1, 2, 3])
+
+    with pytest.raises(TemplateError, match="union expected a list, got str"):
+        template.Template("{{ 'string' | union([1, 2, 3]) }}", hass).async_render()
+
+    with pytest.raises(TemplateError, match="union expected a list, got str"):
+        template.Template("{{ [1, 2, 3] | union('string') }}", hass).async_render()
+
+
+def test_symmetric_difference(hass: HomeAssistant) -> None:
+    """Test the symmetric_difference function and filter."""
+    assert list(
+        template.Template(
+            "{{ symmetric_difference([1, 2, 5, 3, 4, 10], [1, 2, 3, 4, 5, 11, 99]) }}",
+            hass,
+        ).async_render()
+    ) == unordered([10, 11, 99])
+
+    assert list(
+        template.Template(
+            "{{ [1, 2, 5, 3, 4, 10] | symmetric_difference([1, 2, 3, 4, 5, 11, 99]) }}",
+            hass,
+        ).async_render()
+    ) == unordered([10, 11, 99])
+
+    assert list(
+        template.Template(
+            "{{ symmetric_difference(['a', 'b', 'c'], ['b', 'c', 'd']) }}", hass
+        ).async_render()
+    ) == unordered(["a", "d"])
+
+    assert list(
+        template.Template(
+            "{{ ['a', 'b', 'c'] | symmetric_difference(['b', 'c', 'd']) }}", hass
+        ).async_render()
+    ) == unordered(["a", "d"])
+
+    assert list(
+        template.Template(
+            "{{ symmetric_difference([], [1, 2, 3]) }}", hass
+        ).async_render()
+    ) == unordered([1, 2, 3])
+
+    assert list(
+        template.Template(
+            "{{ [] | symmetric_difference([1, 2, 3]) }}", hass
+        ).async_render()
+    ) == unordered([1, 2, 3])
+
+    with pytest.raises(
+        TemplateError, match="symmetric_difference expected a list, got str"
+    ):
+        template.Template(
+            "{{ 'string' | symmetric_difference([1, 2, 3]) }}", hass
+        ).async_render()
+
+    with pytest.raises(
+        TemplateError, match="symmetric_difference expected a list, got str"
+    ):
+        template.Template(
+            "{{ [1, 2, 3] | symmetric_difference('string') }}", hass
+        ).async_render()
+
+
 def test_md5(hass: HomeAssistant) -> None:
     """Test the md5 function and filter."""
     assert (