Type species: Chrysaora spinosa Lamouroux 1821 (not Michelin, 1843)
This genus includes the species:
The type species is now considered to be a neuroporid demosponge. (Kazmierczak & Hillmer, 1974. Acta Palaeontologica Polonica 29: 443-453)
However, the list of species below have been assigned to Acanthopora, and some will be bryozoans. Any helpful comments about these taxa would be appreciated>
| Acanthopora formosa | Canu & Bassler, 1926 | Early Cretaceous Valanginian | Switzerland |
| Acanthopora haimei (status?) |
Etallon, 1859 | Jurassic | France |
| Acanthopora icaunensis | d'Orbigny, 1850 | Early Cretaceous Valanginian-Hauterivian | France |
| Acanthopora lamourouxi | Haime, 1854 | Jurassic | France |
| Acanthopora neocomiensis | d'Orbigny, 1850 | Early Cretaceous Valanginian-Hauterivian | France |
| Acanthopora pulchella | de Loriol, 1868 | Early Cretaceous Valanginian-Hauterivian | Switzerland |
| Acanthopora spinosa | (Lamouroux 1821) | Jurassic | France |