Corynopuntia kunzei (Rose) M.P. Griff. in Haseltonia 9: 91. 2002 sec. Hunt & al. 2006
- ≡Opuntia kunzei Rose in Smithsonian Misc. Collect. 50: 505. 1908 syn. sec. Hunt & al. 2006
- =Grusonia wrightiana E.M. Baxter, Calif. Cact.: 58. 1935 syn. sec. Hunt & al. 2006
- =Opuntia wrightiana (E.M. Baxter) Peebles in Desert Pl. Life 9: 308. 1937 syn. sec. Hunt & al. 2006
- =Opuntia stanlyi var. kunzei (Rose) L.D. Benson in Proc. Calif. Acad. Sci., ser. 4, 25: 248. 1944 syn. sec. Guzmán & al. 2003
- =Opuntia stanlyi var. wrightiana (E.M. Baxter) L.D. Benson in Proc. Calif. Acad. Sci., ser. 4, 25: 248. 1944 syn. sec. Guzmán & al. 2003
- =Opuntia kunzei var. wrightiana (E.M. Baxter) Peebles, Leafl. W. Bot. 5. 1949 syn. sec. Guzmán & al. 2003
- =Corynopuntia stanlyi var. kunzei (Rose) Backeb., Cactaceae (Backeberg) 1: 360. 1958 syn. sec. Guzmán & al. 2003
- =Corynopuntia stanlyi var. wrightiana (E.M. Baxter) Backeb., Cactaceae (Backeberg) 1: 360. 1958 syn. sec. Guzmán & al. 2003