Agelecyathus helenae Duncan, 1876 accepted as Polycyathus atlanticus Duncan, 1876 (basis of record)
Agelecyathus helenae var. minor Duncan, 1876 accepted as Polycyathus atlanticus Duncan, 1876 (basis of record)
Agelecyathus persicus Duncan, 1876 accepted as Polycyathus persicus (Duncan, 1876) (basis of record)
Alatotrochus rubescens (Moseley, 1876) (additional source)
Amphihelia adminicularis Rehberg, 1892 accepted as Enallopsammia rostrata (Pourtalès, 1878) (additional source)
Amphihelia rostrata Pourtalès, 1878 accepted as Enallopsammia rostrata (Pourtalès, 1878) (basis of record)
Amphihelia venusta (Milne Edwards & Haime, 1850) accepted as Madrepora oculata Linnaeus, 1758 (source of synonymy)
Angia smithii Milne Edwards & Haime, 1849 accepted as Culicia smithii (Milne Edwards & Haime, 1849) (basis of record)
Angia verreauxii Milne Edwards & Haime, 1849 (basis of record)
Anomocora carinata Cairns, 1991 (additional source)
Anomocora fecunda (Pourtalès, 1871) (additional source)
Anomocora gigas (van der Horst, 1931) (additional source)
Anomocora marchadi (Chevalier, 1966) accepted as Anomocora elongata (Studer, 1879) (additional source)
Anomocora prolifera (Pourtalès, 1871) (additional source)
Anthemiphyllia dentata (Alcock, 1902) (additional source)
Anthemiphyllia frustum Cairns, 1994 (additional source)
Anthemiphyllia macrolobata Cairns, 1999 (additional source)
Anthemiphyllia multidentata Cairns, 1999 (additional source)
Anthemiphyllia pacifica Vaughan, 1907 (additional source)
Anthemiphyllia patera Pourtalès, 1878 (additional source)
Anthemiphyllia patera costata Cairns, 1999 (additional source)
Anthemiphyllia patera patera Pourtalès, 1878 (additional source)
Anthemiphyllia spinifera Cairns, 1999 (additional source)
Astrangia astreiformis Milne Edwards & Haime, 1849 accepted as Astrangia poculata (Ellis & Solander, 1786) (basis of record)
Astrangia atrata (Dennant, 1906) (additional source)
Astrangia brasiliensis Vaughan, 1906 accepted as Astrangia solitaria (Le Sueur, 1817) (basis of record)
Astrangia browni Palmer, 1928 (additional source)
Astrangia caboensis Durham, 1947 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia californica Durham & Barnard, 1952 (additional source)
Astrangia concepcionensis Durham, 1947 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia concinna Verrill, 1866 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia conferta Verrill, 1870 (additional source)
Astrangia coronadosensis Durham, 1947 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia cortezi Durham & Barnard, 1952 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia costata Verrill, 1866 (additional source)
Astrangia danae Milne Edwards & Haime, 1849 accepted as Astrangia poculata (Ellis & Solander, 1786) (basis of record)
Astrangia danae Agassiz, 1850 accepted as Astrangia poculata (Ellis & Solander, 1786) (basis of record)
Astrangia dentata Verrill, 1866 (additional source)
Astrangia edwardsii Verrill, 1866 accepted as Astrangia poculata (Ellis & Solander, 1786) (basis of record)
Astrangia epithecata Duncan, 1876 accepted as Astrangia solitaria (Le Sueur, 1817) (basis of record)
Astrangia equatorialis Durham & Barnard, 1952 (additional source)
Astrangia gardnerensis Durham & Barnard, 1952 accepted as Astrangia equatorialis Durham & Barnard, 1952 (basis of record)
Astrangia granulata Duchassaing & Michelotti, 1860 accepted as Astrangia solitaria (Le Sueur, 1817) (basis of record)
Astrangia haimei Verrill, 1866 (additional source)
Astrangia hancocki Durham & Barnrad, 1952 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia hayamaensis Eguchi, 1968 accepted as Phyllangia hayamaensis (Eguchi, 1968) (basis of record)
Astrangia hondaensis Durham & Barnard, 1952 accepted as Polycyathus hondaensis (Durham & Barnard, 1952) (basis of record)
Astrangia howardi Durham & Barnard, 1952 (additional source)
Astrangia lajollaensis Durham, 1947 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia macrodentata Thiel, 1940 (additional source)
Astrangia mercatoris Thiel, 1941 (additional source)
Astrangia michelinii Milne Edwards & Haime, 1849 accepted as Astrangia poculata (Ellis & Solander, 1786) (basis of record)
Astrangia minuta Duncan, 1876 accepted as Astrangia solitaria (Le Sueur, 1817) (basis of record)
Astrangia neglecta Duchassaing & Michelotti, 1860 accepted as Astrangia solitaria (Le Sueur, 1817) (basis of record)
Astrangia oaxacensis Palmer, 1928 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia pedersenii Verrill, 1870 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia phyllangoides Duschassaing & Michelotti, 1864 accepted as Phyllangia americana americana Milne Edwards & Haime, 1849 (basis of record)
Astrangia poculata (Ellis & Solander, 1786) (additional source)
Astrangia pulchella Verrill, 1866 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia rathbuni Vaughan, 1906 (additional source)
Astrangia sanfelipensis Durham & Barnard, 1952 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia santelmoensis Durham, 1947 accepted as Astrangia haimei Verrill, 1866 (basis of record)
Astrangia solitaria (Le Sueur, 1817) (additional source)
Astrangia solitaria portoricensis Vaughan, 1902 accepted as Astrangia solitaria (Le Sueur, 1817) (basis of record)
Astrangia tangolaensis Durham, 1947 accepted as Astrangia californica Durham & Barnard, 1952 (basis of record)
Astrangia woodsi Wells, 1955 (additional source)
Astrocoenia pharensis Heller, 1868 accepted as Madracis pharensis (Heller, 1868) (basis of record)
Astroides calycularis (Pallas, 1766) (additional source)
Astroides luteus Quoy & Gaimard, 1827 accepted as Astroides calycularis (Pallas, 1766) (basis of record)
Aulocyathus atlanticus Zibrowius, 1980 (additional source)
Aulocyathus juvenescens Marenzeller, 1904 (additional source)
Aulocyathus matricidus (Saville Kent, 1871) (additional source)
Aulocyathus recidivus (Dennant, 1906) (additional source)
Australocyathus vincentinus (Dennant, 1904) (additional source)
Axhelia myriaster Milne Edwards & Haime, 1850 accepted as Madracis myriaster (Milne Edwards & Haime, 1850) (basis of record)
Axohelia brueggemanni Ridley, 1881 accepted as Madracis brueggemanni (Ridley, 1881) (basis of record)
Bachytrochus simplex Duncan, 1876 (basis of record)
Balanophyllia (Balanophyllia) annae Van der Horst, 1933 accepted as Rhizopsammia annae (van der Horst, 1933) (basis of record)
Balanophyllia (Balanophyllia) bairdiana Milne Edwards & Haime, 1848 (additional source)
Balanophyllia (Balanophyllia) bayeri Cairns, 1979 (additional source)
Balanophyllia (Balanophyllia) bonaespei van der Horst, 1938 (additional source)
Balanophyllia (Balanophyllia) buccina Tenison-Woods, 1878 accepted as Balanophyllia (Balanophyllia) bairdiana Milne Edwards & Haime, 1848 (additional source)
Balanophyllia (Balanophyllia) capensis Verrill, 1866 (additional source)
Balanophyllia (Balanophyllia) cedrosensis Durham, 1947 (additional source)
Balanophyllia (Balanophyllia) cellulosa Duncan, 1873 (additional source)
Balanophyllia (Balanophyllia) chnous Squires, 1962 (additional source)
Balanophyllia (Balanophyllia) corniculans (Alcock, 1902) (additional source)
Balanophyllia (Balanophyllia) cornu Moseley, 1880 (additional source)
Balanophyllia (Balanophyllia) crassiseptum Cairns & Zibrowius, 1997 (additional source)
Balanophyllia (Balanophyllia) crassitheca Cairns, 1995 (additional source)
Balanophyllia (Balanophyllia) cumingii Milne Edwards & Haime, 1848 (additional source)
Balanophyllia (Balanophyllia) cyathoides (Pourtalès, 1871) (additional source)
Balanophyllia (Balanophyllia) dentata Tenison-Woods, 1879 (additional source)
Balanophyllia (Balanophyllia) desmophyllioides Vaughan, 1907 (additional source)
Balanophyllia (Balanophyllia) diademata van der Horst, 1927 (additional source)
Balanophyllia (Balanophyllia) diffusa Harrison & Poole, 1909 (additional source)
Balanophyllia (Balanophyllia) dilatata Dennant, 1904 (additional source)
Balanophyllia (Balanophyllia) dineta Cairns, 1977 (additional source)
Balanophyllia (Balanophyllia) diomedeae Vaughan, 1907 (additional source)
Balanophyllia (Balanophyllia) diomedeae var. mauensis Vaughan, 1907 accepted as Balanophyllia (Balanophyllia) diomedeae Vaughan, 1907 (basis of record)

 Editor's comment

 for Madracis interjecta Marenzeller, 1907

May be a junior synonym of M. kauaiensis. [details]

 Editor's comment

 for Madracis singularis Rehberg, 1892

May be a junior synonym of M. kauaiensis [details]

 Nomenclature

 for Stephanocyathus bipatella (Alcock, 1902)

probably a juvenile of another named species. Alternative presentation: Stephanocyathus (Stephanocyathus) bipatella ... [details]

 Synonymy

 for Dasmosmilia marchadi Chevalier, 1966

Originally, the species were synonymized by Zibrowius (1980) and Cairns (2009-2017) but with doubt. However, based ... [details]