Anomocora Studer, 1878 (redescription)
Anthemiphyllia dentata (Alcock, 1902) (redescription)
Balanophyllia Wood, 1844 (redescription)
Balanophyllia (Balanophyllia) gigas Moseley, 1880 (redescription)
Caryophyllia (Caryophyllia) Lamarck, 1801 (redescription)
Caryophyllia (Caryophyllia) hawaiiensis Vaughan, 1907 (redescription)
Caryophyllia (Caryophyllia) quadragenaria Alcock, 1902 (redescription)
Caryophyllia (Caryophyllia) rugosa Moseley, 1880 (redescription)
Caryophyllia (Caryophyllia) scobinosa Alcock, 1902 (redescription)
Cladopsammia Lacaze-Duthiers, 1897 (redescription)
Conotrochus Seguenza, 1864 (redescription)
Conotrochus brunneus (Moseley, 1880) (redescription)
Culicia rubeola (Quoy & Gaimard, 1833) (redescription)
Deltocyathus Milne Edwards & Haime, 1848 (redescription)
Dendrophyllia de Blainville, 1830 (redescription)
Dendrophyllia alcocki (Wells, 1954) (redescription)
Desmophyllum Ehrenberg, 1834 (redescription)
Desmophyllum dianthus (Esper, 1794) (redescription)
Eguchipsammia Cairns, 1994 (redescription)
Eguchipsammia fistula (Alcock, 1902) (redescription)
Enallopsammia Michelloti, 1871 (redescription)
Enallopsammia rostrata (Pourtalès, 1878) (redescription)
Endopachys Lonsdale, 1845 (redescription)
Endopachys grayi Milne Edwards & Haime, 1848 (redescription)
Flabellum (Flabellum) Lesson, 1831 (redescription)
Fungiacyathus (Bathyactis) turbinolioides Cairns, 1989 (additional source)
Fungiacyathus (Fungiacyathus) stephanus (Alcock, 1893) (additional source)
Goniocorella Yabe & Eguchi, 1932 (redescription)
Goniocorella dumosa (Alcock, 1902) (redescription)
Javania Duncan, 1876 (redescription)
Letepsammia formosissima (Moseley, 1876) (redescription)
Letepsammia superstes (Ortmann, 1888) (additional source)
Madrepora oculata Linnaeus, 1758 (additional source)
Notocyathus Tenison-Woods, 1880 (redescription)
Notocyathus conicus (Alcock, 1902) (additional source)
Peponocyathus Gravier, 1915 (redescription)
Placotrochides Alcock, 1902 (redescription)
Placotrochides scaphula Alcock, 1902 (redescription)
Rhizotrochus Milne Edwards & Haime, 1848 (redescription)
Sphenotrochus (Sphenotrochus) Milne Edwards & Haime, 1848 (redescription)
Stephanocyathus (Acinocyathus) Wells, 1984 (redescription)
Stephanocyathus (Acinocyathus) spiniger (Marenzeller, 1888) (redescription)
Stephanocyathus (Odontocyathus) Moseley, 1880 (redescription)
Stephanocyathus (Odontocyathus) coronatus (Pourtalès, 1867) (redescription)
Stephanocyathus (Odontocyathus) weberianus (Alcock, 1902) accepted as Stephanocyathus (Odontocyathus) coronatus (Pourtalès, 1867) (redescription)
Stephanocyathus (Stephanocyathus) Seguenza, 1864 (redescription)
Stephanophyllia complicata Moseley, 1876 (redescription)
Tethocyathus Kühn, 1933 (redescription)
Tethocyathus virgatus (Alcock, 1902) (redescription)
Thrypticotrochus Cairns, 1989 (redescription)
Thrypticotrochus multilobatus Cairns, 1989 accepted as Thrypticotrochus petterdi (Dennant, 1906) (redescription)
Trochocyathus (Trochocyathus) Milne Edwards & Haime, 1848 (redescription)
Tropidocyathus Milne Edwards & Haime, 1848 (redescription)
Truncatoflabellum Cairns, 1989 (redescription)
Truncatoguynia Cairns, 1989 (redescription)
Truncatoguynia irregularis Cairns, 1989 (redescription)