Cyclostomatida Busk, 1852
Alceto d'Orbigny, 1850
Alecto Lamouroux, 1821
Bidiastopora d'Orbigny, 1849
Cardioecia Canu & Bassler, 1922
Cellulipora d'Orbigny, 1849
Clinopora Marsson, 1887
Cricopora de Blainville, 1830
Desmeplagioecia Canu & Bassler, 1920
Diastopora Lamouroux, 1821
Diploclema Ulrich, 1889
Diplosloen Canu, 1918
Diplosolen Canu, 1918
Discantenna Gordon & Taylor, 2010
Discosparsa d'Orbigny, 1852-3
Fascipora d'Orbigny, 1853
Liripora MacGillivray, 1887
Microecia Canu, 1918
Reptomultisparsa d'Orbigny, 1853
Retelea d'Orbigny, 1853
Reticulipora d'Orbigny, 1849
Sagenella Hall, 1851
Serpentipora Brood, 1976
Spiropora Lamouroux, 1821