_- Acroporidae
- Actinacididae
- Actinastreidae
- Agariciidae
- Agathiphylliidae
- Alpinophylliidae
- Amphiastraeidae
- Andemantastraeidae
- Anthemiphylliidae
- Astrocoeniidae
- Calamophylliidae
- Caryophylliidae
- Cladophylliidae
- Columastraeidae
- Coscinaraeidae
- Cunnolitidae
- Cyclolitidae
- Deltocyathidae
- Dendrophylliidae
- Dermosmiliidae
- Diploastreidae
- Euphylliidae
- Flabellidae
- Fungiacyathidae
- Fungiidae
- Funginellidae
- Gablonzeriidae
- Gardineriidae
- Guyniidae
- Haplaraeidae
- Heterocoeniidae
- Isastreidae
- Latomeandridae
- Lobophylliidae
- Margarophylliidae
- Meandrinidae
- Merulinidae
- Micrabaciidae
- Microsolenidae
- Montastraeidae
- Montlivaltiidae
- Mussidae
- Oculinidae
- Oppelismiliidae
- Pamiroseriidae
- Phyllocoeniidae
- Pinacophyllidae
- Placocoeniidae
- Pocilloporidae
- Poritidae
- Procyclolitidae
- Psammocoridae
- Reimaniphylliidae
- Rhipidastraeidae
- Rhipidogyridae
- Rhizangiidae
- Schizocyathidae
- Siderastreidae
- Solenocoeniidae
- Stenocyathidae
- Stylophyllidae
- Thamnasteriidae
- Turbinoliidae
- Volzeiidae