diff --git a/ibis/backends/tests/test_array.py b/ibis/backends/tests/test_array.py
index 4ab7b22dfbce..25681908f717 100644
--- a/ibis/backends/tests/test_array.py
+++ b/ibis/backends/tests/test_array.py
@@ -576,7 +576,7 @@ def test_array_contains(backend, con):
         param(
             [[1], [], [42, 42], []],
             [-1, -1, 0, -1],
-            id="including-empty-array",
+            id="some-empty",
             marks=[
                 pytest.mark.notyet(
                     ["flink"],
@@ -593,22 +593,20 @@ def test_array_contains(backend, con):
         param(
             [[1], [1], [42, 42], [1]],
             [-1, -1, 0, -1],
-            id="all-non-empty-arrays",
-        ),
-        param(
-            [[1], [1, 42], [42, 42, 42], [42, 1]],
-            [-1, 1, 0, 0],
-            id="all-non-empty-arrays-2",
+            id="none-empty",
         ),
     ],
 )
-@pytest.mark.notimpl(["dask", "impala", "polars"], raises=com.OperationNotDefinedError)
+@pytest.mark.notimpl(["dask", "polars"], raises=com.OperationNotDefinedError)
+@pytest.mark.notyet(["impala"], raises=com.UnsupportedBackendType)
 def test_array_position(backend, con, a, expected_array):
     t = ibis.memtable({"a": a})
     expr = t.a.index(42)
     result = con.execute(expr)
     expected = pd.Series(expected_array, dtype="object")
-    backend.assert_series_equal(result, expected, check_names=False, check_dtype=False)
+    assert frozenset(map(tuple, result.values)) == frozenset(
+        map(tuple, expected.values)
+    )
 
 
 @builtin_array
@@ -635,7 +633,7 @@ def test_array_position(backend, con, a, expected_array):
         param([[3, 2], [2], [42, 2], [2, 2], [2]], id="all-non-empty-arrays"),
     ],
 )
-def test_array_remove(backend, con, a):
+def test_array_remove(con, a):
     t = ibis.memtable({"a": a})
     expr = t.a.remove(2)
     result = con.execute(expr)
diff --git a/ibis/backends/tests/test_string.py b/ibis/backends/tests/test_string.py
index 3a832c5d7d40..e25ab5f62d13 100644
--- a/ibis/backends/tests/test_string.py
+++ b/ibis/backends/tests/test_string.py
@@ -941,14 +941,10 @@ def test_capitalize(con):
         "mssql",
         "mysql",
         "exasol",
+        "impala",
     ],
     raises=com.OperationNotDefinedError,
 )
-@pytest.mark.notimpl(
-    ["impala"],
-    raises=com.UnsupportedBackendType,
-    reason="no array support",
-)
 def test_array_string_join(con):
     s = ibis.array(["a", "b", "c"])
     expected = "a,b,c"
diff --git a/ibis/backends/tests/test_uuid.py b/ibis/backends/tests/test_uuid.py
index 5b1eadb790d8..5802727f205d 100644
--- a/ibis/backends/tests/test_uuid.py
+++ b/ibis/backends/tests/test_uuid.py
@@ -33,7 +33,7 @@
     raises=sqlalchemy.exc.InternalError,
     reason="Feature is not yet implemented: unsupported data type: UUID",
 )
-@pytest.mark.notimpl(["impala", "polars"], raises=NotImplementedError)
+@pytest.mark.notimpl(["polars"], raises=NotImplementedError)
 @pytest.mark.notimpl(["datafusion"], raises=Exception)
 def test_uuid_literal(con, backend):
     backend_name = backend.name()