Anomocora Studer, 1878 (basis of record)
Anomocora fecunda (Pourtalès, 1871) (basis of record)
Asterosmilia Duncan, 1867 † (basis of record)
Astrangia Milne Edwards & Haime, 1848 (basis of record)
Astrangia macrodentata Thiel, 1940 (basis of record)
Astroides Quoy & Gaimard, 1827 (basis of record)
Astroides calycularis (Pallas, 1766) (basis of record)
Aulocyathus Marenzeller, 1904 (basis of record)
Aulocyathus atlanticus Zibrowius, 1980 (basis of record)
Balanophyllia Wood, 1844 (basis of record)
Balanophyllia (Balanophyllia) cellulosa Duncan, 1873 (basis of record)
Balanophyllia (Balanophyllia) europaea (Risso, 1827) (basis of record)
Balanophyllia (Balanophyllia) regia Gosse, 1853 (basis of record)
Balanophyllia (Balanophyllia) thalassae Zibrowius, 1980 (basis of record)
Caryophyllia Lamarck, 1801 (basis of record)
Caryophyllia (Caryophyllia) abyssorum Duncan, 1873 (basis of record)
Caryophyllia (Caryophyllia) alberti Zibrowius, 1980 (basis of record)
Caryophyllia (Caryophyllia) ambrosia Alcock, 1898 (basis of record)
Caryophyllia (Caryophyllia) atlantica (Duncan, 1873) (basis of record)
Caryophyllia (Caryophyllia) calveri Duncan, 1873 (basis of record)
Caryophyllia (Caryophyllia) cyathus (Ellis & Solander, 1786) (basis of record)
Caryophyllia (Caryophyllia) diomedeae Marenzeller, 1904 (basis of record)
Caryophyllia (Caryophyllia) foresti Zibrowius, 1980 (basis of record)
Caryophyllia (Caryophyllia) inornata (Duncan, 1878) (basis of record)
Caryophyllia (Caryophyllia) sarsiae Zibrowius, 1974 (basis of record)
Caryophyllia (Caryophyllia) seguenzae Duncan, 1873 (basis of record)
Caryophyllia (Caryophyllia) smithii Stokes & Broderip, 1828 (basis of record)
Caryophylliidae Dana, 1846 (basis of record)
Ceratotrochus Milne Edwards & Haime, 1848 (basis of record)
Ceratotrochus magnaghii Cecchini, 1914 (basis of record)
Cladocora Ehrenberg, 1834 (basis of record)
Cladocora caespitosa (Linnaeus, 1767) (basis of record)
Cladocora debilis Milne Edwards & Haime, 1849 (basis of record)
Cladopsammia Lacaze-Duthiers, 1897 (basis of record)
Cladopsammia rolandi Lacaze-Duthiers, 1897 (basis of record)
Coenocyathus Milne Edwards & Haime, 1848 (basis of record)
Coenocyathus anthophyllites Milne Edwards & Haime, 1848 (basis of record)
Coenocyathus cylindricus Milne Edwards & Haime, 1848 (basis of record)
Coenosmilia Pourtalès, 1874 (basis of record)
Coenosmilia arbuscula Pourtalès, 1874 accepted as Anomocora fecunda (Pourtalès, 1871) (basis of record)
Concentrotheca Cairns, 1979 (basis of record)
Concentrotheca laevigata (Pourtalès, 1871) (basis of record)
Dasmosmilia Pourtalès, 1880 (basis of record)
Dasmosmilia lymani (Pourtalès, 1871) (basis of record)
Dasmosmilia variegata (Pourtalès, 1871) (basis of record)
Deltocyathoides Yabe & Eguchi, 1932 accepted as Peponocyathus Gravier, 1915 (basis of record)
Deltocyathoides stimpsonii (Pourtalès, 1871) accepted as Peponocyathus stimpsonii (Pourtalès, 1871) (basis of record)
Deltocyathus Milne Edwards & Haime, 1848 (basis of record)
Deltocyathus eccentricus Cairns, 1979 (basis of record)
Deltocyathus italicus (Michelotti, 1838) (basis of record)
Deltocyathus moseleyi Cairns, 1979 (basis of record)
Dendrophyllia de Blainville, 1830 (basis of record)
Dendrophyllia alternata Pourtalès, 1880 (basis of record)
Dendrophyllia cornigera (Lamarck, 1816) (basis of record)
Dendrophyllia laboreli Zibrowius & Brito, 1984 (basis of record)
Dendrophyllia ramea (Linnaeus, 1758) (basis of record)
Dendrophylliidae Gray, 1847 (basis of record)
Desmophyllum Ehrenberg, 1834 (basis of record)
Desmophyllum dianthus (Esper, 1794) (basis of record)
Eguchipsammia Cairns, 1994 (basis of record)
Eguchipsammia cornucopia (De Pourtalès, 1871) (basis of record)
Eguchipsammia gaditana (Duncan, 1873) (basis of record)
Enallopsammia Michelloti, 1871 (basis of record)
Enallopsammia rostrata (Pourtalès, 1878) (basis of record)
Flabellidae Bourne, 1905 (basis of record)
Flabellum Lesson, 1831 (basis of record)
Flabellum (Flabellum) chunii Marenzeller, 1904 (basis of record)
Flabellum (Ulocyathus) alabastrum Moseley, 1876 (basis of record)
Flabellum (Ulocyathus) angulare Moseley, 1876 (basis of record)
Flabellum (Ulocyathus) macandrewi Gray, 1849 (basis of record)
Fungiacyathidae Chevalier & L. Beauvais, 1987 (basis of record)
Fungiacyathus Sars, 1872 (basis of record)
Fungiacyathus (Bathyactis) crispus (Pourtalès, 1871) (basis of record)
Fungiacyathus (Bathyactis) marenzelleri (Vaughan, 1906) (basis of record)
Fungiacyathus (Fungiacyathus) fragilis Sars, 1872 (basis of record)
Guynia Duncan, 1873 (basis of record)
Guynia annulata Duncan, 1872 (basis of record)
Guyniidae Hickson, 1910 (basis of record)
Hoplangia Gosse, 1860 (basis of record)
Hoplangia durotrix Gosse, 1860 (basis of record)
Javania Duncan, 1876 (basis of record)
Javania cailleti (Duchassaing & Michelotti, 1864) (basis of record)
Javania pseudoalabastra Zibrowius, 1974 (basis of record)
Leptopsammia Milne Edwards & Haime, 1848 (basis of record)
Leptopsammia britannica (Duncan, 1870) (basis of record)
Leptopsammia formosa (Gravier, 1915) (basis of record)
Leptopsammia pruvoti Lacaze-Duthiers, 1897 (basis of record)
Lophelia Milne Edwards & Haime, 1849 accepted as Desmophyllum Ehrenberg, 1834 (basis of record)
Lophelia pertusa (Linnaeus, 1758) accepted as Desmophyllum pertusum (Linnaeus, 1758) (basis of record)
Madracis Milne Edwards & Haime, 1849 (basis of record)
Madracis asperula Milne Edwards & Haime, 1849 (basis of record)
Madracis pharensis (Heller, 1868) (basis of record)
Madracis profunda Zibrowius, 1980 (basis of record)
Madrepora Linnaeus, 1758 (basis of record)
Madrepora oculata Linnaeus, 1758 (basis of record)
Monomyces Ehrenberg, 1834 (basis of record)
Monomyces pygmaea (Risso, 1827) (basis of record)
Oculina Lamarck, 1816 (basis of record)
Oculina patagonica de Angelis D'Ossat, 1908 (basis of record)
Oculinidae Gray, 1847 (basis of record)