Anthemiphyllia dentata (Alcock, 1902) (additional source)
Balanophyllia Wood, 1844 (additional source)
Balanophyllia bairdiana Milne Edwards & Haime, 1848 represented as Balanophyllia (Balanophyllia) bairdiana Milne Edwards & Haime, 1848 (additional source)
Balanophyllia bonaespei van der Horst, 1938 represented as Balanophyllia (Balanophyllia) bonaespei van der Horst, 1938 (additional source)
Balanophyllia capensis Verrill, 1866 represented as Balanophyllia (Balanophyllia) capensis Verrill, 1866 (additional source)
Balanophyllia dentata Tenison-Woods, 1879 represented as Balanophyllia (Balanophyllia) dentata Tenison-Woods, 1879 (additional source)
Balanophyllia diademata van der Horst, 1927 represented as Balanophyllia (Balanophyllia) diademata van der Horst, 1927 (additional source)
Balanophyllia italica (Michelin, 1841) represented as Balanophyllia (Balanophyllia) italica (Michelin, 1841) (additional source)
Balanophyllia malouinensis Squires, 1961 represented as Balanophyllia (Balanophyllia) malouinensis Squires, 1961 (original description)
Caryophyllia Lamarck, 1801 (additional source)
Caryophyllia antarctica Marenzeller, 1904 represented as Caryophyllia (Caryophyllia) antarctica Marenzeller, 1904 (additional source)
Caryophyllia berteriana Duchassaing, 1850 represented as Caryophyllia (Caryophyllia) berteriana Duchassaing, 1850 (additional source)
Caryophyllia cyathus (Ellis & Solander, 1786) represented as Caryophyllia (Caryophyllia) cyathus (Ellis & Solander, 1786) (additional source)
Caryophyllia lamellifera Moseley, 1880 represented as Caryophyllia (Caryophyllia) lamellifera Moseley, 1880 (additional source)
Caryophyllia mabahithi Gardiner & Waugh, 1938 represented as Caryophyllia (Caryophyllia) mabahithi Gardiner & Waugh, 1938 (additional source)
Caryophyllia planilamellata Dennant, 1906 represented as Caryophyllia (Caryophyllia) planilamellata Dennant, 1906 (additional source)
Caryophyllia profunda Moseley, 1880 represented as Caryophyllia (Caryophyllia) profunda Moseley, 1880 (additional source)
Ceratotrochus (Conotrochus) typus (Sequenza, 1864) † (additional source)
Cladocora arbuscula (Le Sueur, 1820) (additional source)
Conocyathus sulcatus d'Orbigny, 1849 † (additional source)
Conocyathus zelandiae Duncan, 1876 (additional source)
Culicia australiensis Hoffmeister, 1933 (additional source)
Culicia rubeola (Quoy & Gaimard, 1833) (additional source)
Culicia smithii (Milne Edwards & Haime, 1849) (additional source)
Culicia tenella Dana, 1846 (additional source)
Dendrophyllia cladonia van der Horst, 1927 (additional source)
Dendrophyllia cornigera (Lamarck, 1816) (additional source)
Dendrophyllia dilatata van der Horst, 1927 (additional source)
Dunocyathus parasiticus Tenison-Woods, 1878 (additional source)
Endopachys grayi Milne Edwards & Haime, 1848 (additional source)
Flabellum Lesson, 1831 (additional source)
Flabellum australe Moseley, 1880 represented as Flabellum (Flabellum) australe Moseley, 1880 (additional source)
Flabellum curvatum Moseley, 1880 represented as Flabellum (Flabellum) curvatum Moseley, 1880 (additional source)
Flabellum japonicum Moseley, 1880 represented as Flabellum (Ulocyathus) japonicum Moseley, 1880 (additional source)
Flabellum pavoninum Lesson, 1831 represented as Flabellum (Flabellum) pavoninum Lesson, 1831 (additional source)
Flabellum thouarsii Milne Edwards & Haime, 1848 represented as Flabellum (Flabellum) thouarsii Milne Edwards & Haime, 1848 (additional source)
Flabellum transversale Moseley, 1880 represented as Flabellum (Flabellum) transversale transversale Moseley, 1880 (additional source)
Fungiacyathus symmetricus (Pourtalès, 1871) represented as Fungiacyathus (Bathyactis) symmetricus (Pourtalès, 1871) (additional source)
Gardineria Vaughan, 1907 (additional source)
Goniocorella Yabe & Eguchi, 1932 (additional source)
Heterocyathus aequicostatus Milne Edwards & Haime, 1848 (additional source)
Holcotrochus crenulatus Dennant, 1904 (additional source)
Holcotrochus scriptus Dennant, 1902 (additional source)
Idiotrochus emarciatus (Duncan, 1865) (additional source)
Kionotrochus suteri Dennant, 1906 (additional source)
Notophyllia etheridgi Hoffmeister, 1933 (additional source)
Oculina virgosa Squires, 1958 (additional source)
Paracyathus Milne Edwards & Haime, 1848 (additional source)
Paracyathus vittatus Dennant, 1906 (additional source)
Platytrochus compressus (Tenison-Woods, 1878) (additional source)
Sphenotrochus (Eusthenotrochus) gilchristi Gardiner, 1905 (additional source)
Sphenotrochus aurantiacus Marenzeller, 1904 represented as Sphenotrochus (Sphenotrochus) aurantiacus Marenzeller, 1904 (additional source)
Sphenotrochus auritus Pourtalès, 1874 represented as Sphenotrochus (Eusthenotrochus) auritus Pourtalès, 1874 (additional source)
Sphenotrochus excavatus Tenison-Woods, 1878 represented as Sphenotrochus (Sphenotrochus) excavatus Tenison-Woods, 1878 (additional source)
Sphenotrochus gardineri Squires, 1961 represented as Sphenotrochus (Sphenotrochus) gardineri Squires, 1961 (original description)
Sphenotrochus intermedius (Münster, 1826) † (additional source)
Sphenotrochus variolaris Tenison-Woods, 1878 (additional source)
Stenocyathus Pourtalès, 1871 (additional source)
Stephanophyllia Michelin, 1841 (additional source)
Trochocyathus (Thecocyathus) Milne Edwards & Haime, 1848 accepted as Thecocyathus Milne Edwards & Haime, 1848 † (additional source)
Trochocyathus rawsonii Pourtalès, 1874 represented as Trochocyathus (Trochocyathus) rawsonii Pourtalès, 1874 (additional source)