- _
- Ajacicyathidae
- Archaeocyathidae
- Archaeosyconidae
- Australothecidae
- Banffidae
- Bronchocyathidae
- Caeciliaidae
- Chancelloriidae
- Charniidae
- Coscinocyathidae
- Cricocosmiidae
- Desmochitinidae
- Dictyocyathidae
- Discocephalidae
- Ethmophyllidae
- Hyolithidae
- Inflaticornidae
- Lagenochitinidae
- Maotianshaniidae
- Metacyathidae
- Novitatidae
- Ottoiidae
- Palaeoscolecidae
- Pteridiniidae
- Rangeidae
- Receptaculitidae
- Salterellidae
- Selkirkiidae
- Sulcavitidae
- Syringocnemididae
- Tetrathecidae
- Tintinnidiidae
- Tribrachididae
- Trichomonadidae
- Wetheredellidae
- Wiwaxiidae