Acropora cervicornis (Lamarck, 1816) (additional source)
Acropora palmata (Lamarck, 1816) (additional source)
Acropora valida (Dana, 1846) (additional source)
Agaricia fragilis Dana, 1846 (additional source)
Agaricia grahamae Wells, 1973 (additional source)
Agaricia lamarcki Milne Edwards & Haime, 1851 (additional source)
Agaricia undata (Ellis & Solander, 1786) (additional source)
Anomocora fecunda (Pourtalès, 1871) (additional source)
Anomocora marchadi (Chevalier, 1966) accepted as Anomocora elongata (Studer, 1879) (additional source)
Anomocora prolifera (Pourtalès, 1871) (additional source)
Astrangia californica Durham & Barnard, 1952 (additional source)
Astrangia conferta Verrill, 1870 (additional source)
Astrangia equatorialis Durham & Barnard, 1952 (additional source)
Astrangia solitaria (Le Sueur, 1817) (additional source)
Balanophyllia bayeri Cairns, 1979 represented as Balanophyllia (Balanophyllia) bayeri Cairns, 1979 (additional source)
Balanophyllia caribbeana Cairns, 1977 represented as Balanophyllia (Eupsammia) caribbeana Cairns, 1977 (additional source)
Balanophyllia cyathoides (Pourtalès, 1871) represented as Balanophyllia (Balanophyllia) cyathoides (Pourtalès, 1871) (additional source)
Balanophyllia dineta Cairns, 1977 represented as Balanophyllia (Balanophyllia) dineta Cairns, 1977 (additional source)
Balanophyllia galapagensis Vaughan, 1906 represented as Balanophyllia (Balanophyllia) galapagensis Vaughan, 1906 (additional source)
Balanophyllia hadros Cairns, 1979 represented as Balanophyllia (Balanophyllia) hadros Cairns, 1979 (additional source)
Balanophyllia palifera Pourtalès, 1878 represented as Balanophyllia (Balanophyllia) palifera Pourtalès, 1878 (additional source)
Balanophyllia pittieri Vaughan, 1919 represented as Balanophyllia (Eupsammia) pittieri Vaughan, 1919 (additional source)
Balanophyllia wellsi Cairns, 1977 represented as Balanophyllia (Balanophyllia) wellsi Cairns, 1977 (additional source)
Caryophyllia (Caryophyllia) ambrosia caribbeana Cairns, 1979 (additional source)
Caryophyllia (Caryophyllia) barbadensis Cairns, 1979 (additional source)
Caryophyllia (Caryophyllia) crypta Cairns, 2000 (additional source)
Caryophyllia berteriana Duchassaing, 1850 represented as Caryophyllia (Caryophyllia) berteriana Duchassaing, 1850 (additional source)
Cladocora arbuscula (Le Sueur, 1820) (additional source)
Cladocora debilis Milne Edwards & Haime, 1849 (additional source)
Cladopsammia eguchii (Wells, 1982) (additional source)
Coenocyathus parvulus (Cairns, 1979) (additional source)
Coenosmilia arbuscula Pourtalès, 1874 accepted as Anomocora fecunda (Pourtalès, 1871) (additional source)
Colangia immersa Pourtalès, 1871 (additional source)
Colpophyllia amaranthus (Houttuyn, 1772) accepted as Colpophyllia natans (Houttuyn, 1772) (additional source)
Colpophyllia breviserialis Milne Edwards & Haime, 1849 (additional source)
Colpophyllia natans (Houttuyn, 1772) (additional source)
Culicia rubeola (Quoy & Gaimard, 1833) (additional source)
Deltocyathus calcar Pourtalès, 1874 (additional source)
Deltocyathus italicus (Michelotti, 1838) (additional source)
Dendrogyra cylindrus (Ehrenberg, 1834) (additional source)
Dendrophyllia oldroydae Oldroyd, 1924 (additional source)
Dichocoenia stellaris Milne Edwards & Haime, 1848 accepted as Dichocoenia stokesii (Milne Edwards & Haime, 1849) (additional source)
Dichocoenia stokesi (Milne Edwards & Haime, 1849) accepted as Dichocoenia stokesii (Milne Edwards & Haime, 1849) (additional source)
Diploria Milne Edwards & Haime, 1848 (additional source)
Diploria clivosa (Ellis & Solander, 1786) accepted as Pseudodiploria clivosa (Ellis & Solander, 1786) (additional source)
Diploria strigosa (Dana, 1846) accepted as Pseudodiploria strigosa (Dana, 1846) (additional source)
Eguchipsammia cornucopia (De Pourtalès, 1871) (additional source)
Eusmilia fastigiata (Pallas, 1766) (additional source)
Favia fragum (Esper, 1793) (additional source)
Flabellum macandrewi Gray, 1849 represented as Flabellum (Ulocyathus) macandrewi Gray, 1849 (additional source)
Flabellum moseleyi Pourtalès, 1880 represented as Flabellum (Ulocyathus) moseleyi Pourtalès, 1880 (additional source)
Fungia curvata Hoeksema, 1989 accepted as Cycloseris curvata (Hoeksema, 1989) (additional source)
Fungia distorta Michelin, 1842 accepted as Cycloseris distorta (Michelin, 1842) (additional source)
Fungiacyathus crispus (Pourtalès, 1871) represented as Fungiacyathus (Bathyactis) crispus (Pourtalès, 1871) (additional source)
Fungiacyathus symmetricus (Pourtalès, 1871) represented as Fungiacyathus (Bathyactis) symmetricus (Pourtalès, 1871) (additional source)
Gardineria minor Wells, 1973 (additional source)
Gardineroseris planulata (Dana, 1846) (additional source)
Guynia annulata Duncan, 1872 (additional source)
Helioseris cucullata (Ellis & Solander, 1786) (additional source)
Heterocyathus antoniae Reyes, Santodomingo & Cairns, 2009 (additional source)
Isophyllastrea rigida (Dana, 1846) accepted as Isophyllia rigida (Dana, 1846) (additional source)
Isophyllia sinuosa (Ellis & Solander, 1786) (additional source)
Javania cailleti (Duchassaing & Michelotti, 1864) (additional source)
Leptoseris cailleti (Duchassaing & Michelotti, 1864) (additional source)
Lophelia pertusa (Linnaeus, 1758) accepted as Desmophyllum pertusum (Linnaeus, 1758) (additional source)
Madracis asperula Milne Edwards & Haime, 1849 (additional source)
Madracis auretenra Locke, Weil & Coates, 2007 (additional source)
Madracis brueggemanni (Ridley, 1881) (additional source)
Madracis decactis (Lyman, 1859) (additional source)
Madracis formosa Wells, 1973 (additional source)
Madracis myriaster (Milne Edwards & Haime, 1850) (additional source)
Madracis pharensis (Heller, 1868) (additional source)
Madracis senaria Wells, 1973 (additional source)
Madrepora carolina (Pourtalès, 1871) (additional source)
Madrepora oculata Linnaeus, 1758 (additional source)
Manicina areolata (Linnaeus, 1758) (additional source)
Meandrina meandrites (Linnaeus, 1758) (additional source)
Montastraea annularis (Ellis & Solander, 1786) accepted as Orbicella annularis (Ellis & Solander, 1786) (additional source)
Montastraea cavernosa (Linnaeus, 1767) (additional source)
Montastraea faveolata (Ellis & Solander, 1786) accepted as Orbicella faveolata (Ellis & Solander, 1786) (additional source)
Montastraea franksi (Gregory, 1895) accepted as Orbicella franksi (Gregory, 1895) (additional source)
Mussa angulosa (Pallas, 1766) (additional source)
Mycetophyllia aliciae Wells, 1973 (additional source)
Mycetophyllia daniana Milne Edwards & Haime, 1849 accepted as Mycetophyllia danaana Milne Edwards & Haime, 1849 (additional source)
Mycetophyllia ferox Wells, 1973 (additional source)
Mycetophyllia lamarckiana Milne Edwards & Haime, 1849 (additional source)
Mycetophyllia reesi Wells, 1973 (additional source)
Oculina diffusa Lamarck, 1816 (additional source)
Oculina tenella Pourtalès, 1871 (additional source)
Oulangia bradleyi (Verrill, 1866) (additional source)
Oxysmilia rotundifolia (Milne Edwards & Haime, 1848) (additional source)
Paracyathus pulchellus (Philippi, 1842) (additional source)
Pavona chiriquiensis Glynn, Maté & Stemann, 2001 (additional source)
Pavona clavus (Dana, 1846) (additional source)
Pavona frondifera (Lamarck, 1816) (additional source)
Pavona gigantea (Verrill, 1869) (additional source)
Pavona maldivensis (Gardiner, 1905) (additional source)
Pavona varians (Verrill, 1864) (additional source)
Pavonia frondifera Lamarck, 1816 accepted as Pavona frondifera (Lamarck, 1816) (additional source)
Phacelocyathus flos (Pourtalès, 1878) (additional source)

 Taxonomic remark

 for Colpophyllia breviserialis Milne Edwards & Haime, 1849

Colpophyllia breviserialis was synonymized with C. natans by Fenner (1993) but considered valid by Reyes et al. (2010)  [details]