Aulocyathus Marenzeller, 1904 (additional source)
Caryophyllia Lamarck, 1801 (additional source)
Deltocyathus Milne Edwards & Haime, 1848 (additional source)
Dendrophyllia de Blainville, 1830 (additional source)
Desmophyllum Ehrenberg, 1834 (additional source)
Flabellum Lesson, 1831 (additional source)
Leptopsammia Milne Edwards & Haime, 1848 (additional source)
Madracis Milne Edwards & Haime, 1849 (additional source)
Madrepora Linnaeus, 1758 (additional source)
Millepora Linnaeus, 1758 (basis of record)
Paracyathus Milne Edwards & Haime, 1848 (additional source)
Peponocyathus Gravier, 1915 (additional source)
Premocyathus Yabe & Eguchi, 1942 (additional source)
Solenosmilia Duncan, 1873 (additional source)
Solenosmilia variabilis Duncan, 1873 (additional source)
Sphenotrochus Milne Edwards & Haime, 1848 (additional source)
Stenocyathus Pourtalès, 1871 (additional source)
Stenocyathus vermiformis (Pourtalès, 1868) (additional source)
Stephanocyathus Seguenza, 1864 (additional source)
Stylaster Gray, 1831 (additional source)
Tethocyathus Kühn, 1933 (additional source)
Trochocyathus Milne Edwards & Haime, 1848 (additional source)

English brain coral for Leptoria Milne Edwards & Haime, 1848
English brain coral for Platygyra Ehrenberg, 1834
English red organ pipe coral for Tubipora musica Linnaeus, 1758