diff --git a/demo/MixedGradient.py b/demo/MixedGradient.py
deleted file mode 100644
index 4456513ea..000000000
--- a/demo/MixedGradient.py
+++ /dev/null
@@ -1,15 +0,0 @@
-"""Mixed gradient demo."""
-
-import basix.ufl
-from ufl import FunctionSpace, Mesh, TestFunctions, TrialFunctions, ds, grad, inner
-
-element1 = basix.ufl.element("DG", "triangle", 1)
-element2 = basix.ufl.element("DGT", "triangle", 1)
-element = basix.ufl.mixed_element([element1, element2])
-domain = Mesh(basix.ufl.element("Lagrange", "triangle", 1, shape=(2,)))
-space = FunctionSpace(domain, element)
-
-u = TrialFunctions(space)[0]
-v = TestFunctions(space)[0]
-
-a = inner(grad(u), grad(v)) * ds
diff --git a/demo/TraceElement.py b/demo/TraceElement.py
deleted file mode 100644
index 58a9f1632..000000000
--- a/demo/TraceElement.py
+++ /dev/null
@@ -1,26 +0,0 @@
-# Copyright (C) 2015 Marie E. Rognes
-#
-# This file is part of FFCx.
-#
-# FFCx is free software: you can redistribute it and/or modify
-# it under the terms of the GNU Lesser General Public License as published by
-# the Free Software Foundation, either version 3 of the License, or
-# (at your option) any later version.
-#
-# FFCx is distributed in the hope that it will be useful,
-# but WITHOUT ANY WARRANTY; without even the implied warranty of
-# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-# GNU Lesser General Public License for more details.
-#
-# You should have received a copy of the GNU Lesser General Public License
-# along with FFCx. If not, see <http://www.gnu.org/licenses/>.
-"""Trace element demo."""
-
-import basix.ufl
-from ufl import FunctionSpace, Mesh, TestFunction, avg, dS, ds
-
-element = basix.ufl.element("HDiv Trace", "triangle", 0)
-domain = Mesh(basix.ufl.element("Lagrange", "triangle", 1, shape=(2,)))
-space = FunctionSpace(domain, element)
-v = TestFunction(space)
-L = v * ds + avg(v) * dS
diff --git a/demo/test_demos.py b/demo/test_demos.py
index c601593bf..182feedca 100644
--- a/demo/test_demos.py
+++ b/demo/test_demos.py
@@ -23,15 +23,6 @@ def test_demo(file, scalar_type):
 
     if file == "Symmetry":
         pytest.xfail("Demo currently failing. See https://github.com/FEniCS/ufl/issues/343.")
-    if file in [
-        "MixedGradient",
-        "TraceElement",  # HDiv Trace
-        "MixedElasticity",  # VectorElement of BDM
-        "RestrictedElement",
-        "_TensorProductElement",
-    ]:
-        # Skip demos that use elements not yet implemented in Basix
-        pytest.skip(reason="Element not yet implemented in Basix")
 
     if "complex" in scalar_type and file in [
         "BiharmonicHHJ",