diff --git a/docs/source/traits_api_reference/trait_types.rst b/docs/source/traits_api_reference/trait_types.rst
index 5b057ab0d..ac73a2b5c 100644
--- a/docs/source/traits_api_reference/trait_types.rst
+++ b/docs/source/traits_api_reference/trait_types.rst
@@ -99,8 +99,6 @@ Traits
 
 .. autoclass:: Method
 
-.. autoclass:: Class
-
 .. autoclass:: Module
 
 .. autoclass:: Python
@@ -202,10 +200,6 @@ Traits
 
 .. autodata:: ListMethod
 
-.. autodata:: ListClass
-
-.. autodata:: ListInstance
-
 .. autodata:: ListThis
 
 .. autodata:: DictStrAny
diff --git a/docs/source/traits_user_manual/defining.rst b/docs/source/traits_user_manual/defining.rst
index 6453f621a..e2894e290 100644
--- a/docs/source/traits_user_manual/defining.rst
+++ b/docs/source/traits_user_manual/defining.rst
@@ -234,7 +234,7 @@ casting traits::
 Other Predefined Traits
 ```````````````````````
 The Traits package provides a number of other predefined traits besides those
-for simple types, corresponding to other commonly used data types; these
+for simple types, corresponding to other commonly used data types; ::these
 predefined traits are listed in the following table. Refer to  the
 *Traits API Reference*, in the section for the module traits.traits,
 for details. Most can be used either as simple names, which use their built-in
@@ -242,7 +242,7 @@ default values, or as callables, which can take additional arguments. If the
 trait cannot be used as a simple name, it is omitted from the Name column of
 the table.
 
-.. index:: Any(), Array(), Button(), Callable(), CArray(), Class(), Code()
+.. index:: Any(), Array(), Button(), Callable(), CArray(), Code()
 .. index:: Color(), CSet(), Constant(), Dict()
 .. index:: Directory(), Disallow, Either(), Enum()
 .. index:: Event(), Expression(), false, File(), Font()
@@ -277,8 +277,6 @@ the table.
 | CArray           | CArray( [*dtype* = None, *shape* = None, *value* = None, |
 |                  | *typecode* = None, \*\*\ *metadata*] )                   |
 +------------------+----------------------------------------------------------+
-| Class            | Class( [*value*, \*\*\ *metadata*] )                     |
-+------------------+----------------------------------------------------------+
 | Code             | Code( [*value* = '', *minlen* = 0, *maxlen* = sys.maxint,|
 |                  | *regex* = '', \*\*\ *metadata*] )                        |
 +------------------+----------------------------------------------------------+
@@ -332,11 +330,9 @@ the table.
 |                  | *module* = None, \*\*\ *metadata*] )                     |
 +------------------+----------------------------------------------------------+
 | List, ListBool,  | List([*trait* = None, *value* = None, *minlen* = 0,      |
-| ListClass,       | *maxlen* = sys.maxint, *items* = True, \*\*\ *metadata*])|
 | ListComplex,     |                                                          |
 | ListFloat,       |                                                          |
 | ListFunction,    |                                                          |
-| ListInstance,    |                                                          |
 | ListInt,         |                                                          |
 | ListMethod,      |                                                          |
 | ListStr,         |                                                          |
diff --git a/traits/api.py b/traits/api.py
index d71cc2671..e55aa8526 100644
--- a/traits/api.py
+++ b/traits/api.py
@@ -133,14 +133,6 @@
     DictStrList,
 )
 
-try:
-    from .trait_types import Class, ListClass, ListInstance
-except ImportError:
-    # Python 3 does not have old-style classes anymore, so Class does not exist
-    # interestingly, ListInstance is not equivalent to List(Instance), but
-    # rather only allows old-style instances.
-    pass
-
 from .trait_types import (
     BaseInt,
     BaseLong,
diff --git a/traits/trait_types.py b/traits/trait_types.py
index 9af10b50c..f4b4784a1 100644
--- a/traits/trait_types.py
+++ b/traits/trait_types.py
@@ -1210,20 +1210,6 @@ class Method(TraitType):
     info_text = "a method"
 
 
-if six.PY2:
-    from types import ClassType
-
-    class Class(TraitType):
-        """ Defines a trait whose value must be an old-style Python class.
-        """
-
-        #: The C-level fast validator to use:
-        fast_validate = (11, ClassType)
-
-        #: A description of the type of value this trait accepts:
-        info_text = "an old-style class"
-
-
 class Module(TraitType):
     """ Defines a trait whose value must be a Python module.
     """
@@ -3857,15 +3843,6 @@ def resolve_class(self, object, name, value):
 #: List of method values; default value is [].
 ListMethod = List(MethodType)
 
-if six.PY2:
-    from types import ClassType, InstanceType
-
-    #: List of class values; default value is [].
-    ListClass = List(ClassType)
-
-    #: List of instance values; default value is [].
-    ListInstance = List(InstanceType)
-
 #: List of container type values; default value is [].
 ListThis = List(ThisClass)