diff --git a/pyflakes/checker.py b/pyflakes/checker.py
index 8ddb17e2..5dc32517 100644
--- a/pyflakes/checker.py
+++ b/pyflakes/checker.py
@@ -1551,6 +1551,14 @@ def _non_annotations(nodes: list[ast.AST]) -> None:
                 else:
                     _non_annotation(kwd)
 
+        elif _is_typing(node.func, 'assert_type', self.scopeStack):
+            _non_annotation(node.func)
+
+            # assert_type(val, "tp")
+            _non_annotations(node.args[:1])
+            _annotations(node.args[1:])
+            _non_annotations(node.keywords)
+
         elif _is_typing(node.func, 'TypeVar', self.scopeStack):
             _non_annotation(node.func)
             _non_annotations(node.args[:1])
@@ -1565,6 +1573,34 @@ def _non_annotations(nodes: list[ast.AST]) -> None:
                 else:
                     _non_annotation(kwd)
 
+        elif (
+                _is_typing(node.func, 'ParamSpec', self.scopeStack) or
+                _is_typing(node.func, 'TypeVarTuple', self.scopeStack)
+        ):
+            _non_annotation(node.func)
+            _non_annotations(node.args)
+
+            # ParamSpec("P", default=..., bound=...)
+            # TypeVarTuple("Ts", default=..., bound=...)
+            for kwd in node.keywords:
+                if kwd.arg in ('bound', 'default'):
+                    _annotation(kwd)
+                else:
+                    _non_annotation(kwd)
+
+        elif _is_typing(node.func, 'NewType', self.scopeStack):
+            _non_annotation(node.func)
+            _non_annotations(node.args[:1])
+
+            # NewType("NT", "C")
+            _annotations(node.args[1:])
+
+            for kwd in node.keywords:
+                if kwd.arg == 'tp':
+                    _annotation(kwd)
+                else:
+                    _non_annotation(kwd)
+
         elif _is_typing(node.func, "TypedDict", self.scopeStack):
             _non_annotation(node.func)
             _non_annotations(node.args[:1])
diff --git a/pyflakes/test/test_type_annotations.py b/pyflakes/test/test_type_annotations.py
index 26010ca2..b86bdca5 100644
--- a/pyflakes/test/test_type_annotations.py
+++ b/pyflakes/test/test_type_annotations.py
@@ -555,6 +555,35 @@ def test_typevar_undefined_arg0(self):
         T = TypeVar(T, int)
         """, m.UndefinedName)
 
+    def test_newtype_quoted_types(self):
+        self.flakes("""
+        from typing import NewType
+        from u import C, D
+        NT1 = NewType("NT1", "C")
+        NT2 = NewType("NT2", tp="D")
+        """)
+
+    def test_typevartuple_quoted_types(self):
+        self.flakes("""
+        from typing import TypeVarTuple
+        from u import C, D
+        Ts = TypeVarTuple("Ts", default="C", bound="D")
+        """)
+
+    def test_paramspec_quoted_types(self):
+        self.flakes("""
+        from typing import ParamSpec
+        from u import C, D
+        P = ParamSpec("P", default="C", bound="D")
+        """)
+
+    def test_assert_type_quoted_types(self):
+        self.flakes("""
+        from typing import assert_type
+        from u import C
+        assert_type(1, "C")
+        """)
+
     def test_literal_type_typing(self):
         self.flakes("""
         from typing import Literal