Aethozoontidae d'Hondt, 1983 accepted as Aethozoidae d'Hondt, 1983 (additional source)
Alcyonidiidae Johnston, 1837 (additional source)
Arachnidiidae Hincks, 1880 (additional source)
Arachnoidea Moore, 1903 (additional source)
Buchneria Harmer, 1957 (additional source)
Buffonellaria Canu & Bassler, 1927 (additional source)
Clavoporidae Osburn & Soule, 1953 (additional source)
Cyclostomatida (additional source)
Densiporidae Borg, 1944 (basis of record)
Diastoporidae Gregory, 1899 accepted as Plagioeciidae Canu, 1918 (additional source)
Escharinidae Tilbrook, 2006 (basis of record)
Eucrateidae Johnston, 1847 (additional source)
Favosipora MacGillivray, 1885 (basis of record)
Flustrellidridae Bassler, 1953 (additional source)
Galeopsis Jullien, 1903 (additional source)
Gigantoporidae Bassler, 1935 (additional source)
Gymnolaemata (additional source)
Hippomonavella Canu & Bassler in Bassler, 1934 (additional source)
Horneridae Smitt, 1867 (additional source)
Infundibulipora Brood, 1972 (basis of record)
Jaculina Jullien in Jullien & Calvet, 1903 (additional source)
Kinetoskias Danielssen, 1868 (additional source)
Lobiancopora Pergens, 1889 (additional source)
Mecynoecia Canu, 1918 (additional source)
Metalcyonidium d'Hondt, 1976 (additional source)
Microporellidae Hincks, 1879 (additional source)
Myriapora de Blainville, 1830 (additional source)
Osthimosia Jullien, 1888 (additional source)
Pseudalcyonidium d'Hondt, 1976 (additional source)
Reteporellina Harmer, 1933 (additional source)
Rhamphostomella Lorenz, 1886 (additional source)
Setosellina Calvet, 1906 (additional source)
Stomatopora Bronn, 1825 (additional source)
Tervia Jullien, 1882 (additional source)
Terviidae Canu & Bassler, 1920 (additional source)
Triticellidae Sars, 1874 (additional source)
Triticellopsis Gautier, 1961 (additional source)
Victorellidae Hincks, 1880 (additional source)