Alatotrochus rubescens (Moseley, 1876) (additional source)
Amphihelia rostrata Pourtalès, 1878 accepted as Enallopsammia rostrata (Pourtalès, 1878) (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 macrolobata Cairns, 1999 (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)
Aulocyathus atlanticus Zibrowius, 1980 (additional source)
Aulocyathus recidivus (Dennant, 1906) (additional source)
Balanophyllia (Balanophyllia) bairdiana Milne Edwards & Haime, 1848 (additional source)
Balanophyllia (Balanophyllia) cellulosa Duncan, 1873 (additional source)
Balanophyllia (Balanophyllia) chnous Squires, 1962 (additional source)
Balanophyllia (Balanophyllia) cornu Moseley, 1880 (additional source)
Balanophyllia (Balanophyllia) crassitheca Cairns, 1995 (additional source)
Balanophyllia (Balanophyllia) cyathoides (Pourtalès, 1871) (additional source)
Balanophyllia (Balanophyllia) desmophyllioides Vaughan, 1907 (additional source)
Balanophyllia (Balanophyllia) floridana Pourtalès, 1868 (additional source)
Balanophyllia (Balanophyllia) gemma (Moseley, 1880) (additional source)
Balanophyllia (Balanophyllia) generatrix Cairns & Zibrowius, 1997 (additional source)
Balanophyllia (Balanophyllia) gigas Moseley, 1880 (additional source)
Balanophyllia (Balanophyllia) malouinensis Squires, 1961 (additional source)
Balanophyllia (Balanophyllia) palifera Pourtalès, 1878 (additional source)
Balanophyllia (Balanophyllia) rediviva Moseley, 1880 (additional source)
Balanophyllia (Balanophyllia) thalassae Zibrowius, 1980 (additional source)
Balanophyllia (Balanophyllia) wellsi Cairns, 1977 (additional source)
Balanophyllia formosa Gravier, 1915 accepted as Leptopsammia formosa (Gravier, 1915) (basis of record)
Bathelia candida Moseley, 1880 (basis of record)
Bathyactis palifera Alcock, 1902 accepted as Fungiacyathus (Fungiacyathus) paliferus (Alcock, 1902) (basis of record)
Bathyactis sibogae Alcock, 1902 accepted as Fungiacyathus (Bathyactis) sibogae (Alcock, 1902) (basis of record)
Bathyactis stephana Alcock, 1893 accepted as Fungiacyathus (Fungiacyathus) stephanus (Alcock, 1893) (basis of record)
Bathycyathus atlanticus Duncan, 1873 accepted as Caryophyllia (Caryophyllia) atlantica (Duncan, 1873) (basis of record)
Bathypsammia fallosocialis Squires, 1959 (additional source)
Bathypsammia tintinnabulum (Pourtalès, 1868) (additional source)
Bourneotrochus stellulatus (Cairns, 1984) (additional source)
Caryophyllia (Acanthocyathus) Milne Edwards & Haime, 1848 (basis of record)
Caryophyllia (Acanthocyathus) spinicarens (Moseley, 1880) (additional source)
Caryophyllia (Acanthocyathus) unicristata Cairns & Zibrowius, 1997 (additional source)
Caryophyllia (Caryophyllia) Lamarck, 1801 (basis of record)
Caryophyllia (Caryophyllia) abrupta Cairns, 1999 (additional source)
Caryophyllia (Caryophyllia) abyssorum Duncan, 1873 (additional source)
Caryophyllia (Caryophyllia) alberti Zibrowius, 1980 (additional source)
Caryophyllia (Caryophyllia) ambrosia Alcock, 1898 (additional source)
Caryophyllia (Caryophyllia) ambrosia ambrosia Alcock, 1898 (additional source)
Caryophyllia (Caryophyllia) ambrosia caribbeana Cairns, 1979 (additional source)
Caryophyllia (Caryophyllia) antarctica Marenzeller, 1904 (additional source)
Caryophyllia (Caryophyllia) antillarum Pourtalès, 1874 (additional source)
Caryophyllia (Caryophyllia) arnoldi Vaughan, 1900 (additional source)
Caryophyllia (Caryophyllia) balaenacea Zibrowius & Gili, 1990 (additional source)
Caryophyllia (Caryophyllia) berteriana Duchassaing, 1850 (additional source)
Caryophyllia (Caryophyllia) calveri Duncan, 1873 (additional source)
Caryophyllia (Caryophyllia) cornuformis Pourtalès, 1868 accepted as Premocyathus cornuformis (Pourtalès, 1868) (basis of record)
Caryophyllia (Caryophyllia) cornulum Cairns & Zibrowius, 1997 (additional source)
Caryophyllia (Caryophyllia) crosnieri Cairns & Zibrowius, 1997 (additional source)
Caryophyllia (Caryophyllia) cyathus (Ellis & Solander, 1786) (additional source)
Caryophyllia (Caryophyllia) diomedeae Marenzeller, 1904 (additional source)
Caryophyllia (Caryophyllia) eltaninae Cairns, 1982 (additional source)
Caryophyllia (Caryophyllia) ephyala Alcock, 1891 (additional source)
Caryophyllia (Caryophyllia) foresti Zibrowius, 1980 (additional source)
Caryophyllia (Caryophyllia) grandis Gardiner & Waugh, 1938 (additional source)
Caryophyllia (Caryophyllia) hawaiiensis Vaughan, 1907 (additional source)
Caryophyllia (Caryophyllia) japonica Marenzeller, 1888 (additional source)
Caryophyllia (Caryophyllia) lamellifera Moseley, 1880 (additional source)
Caryophyllia (Caryophyllia) mabahithi Gardiner & Waugh, 1938 (additional source)
Caryophyllia (Caryophyllia) marmorea Cairns, 1984 (additional source)
Caryophyllia (Caryophyllia) oblonga Kitahara, Cairns & Miller, 2010 (basis of record)
Caryophyllia (Caryophyllia) octonaria Cairns & Zibrowius, 1997 (additional source)
Caryophyllia (Caryophyllia) octopali Vaughan, 1907 (additional source)
Caryophyllia (Caryophyllia) paradoxus Alcock, 1898 (additional source)
Caryophyllia (Caryophyllia) paucipalata Moseley, 1880 (additional source)
Caryophyllia (Caryophyllia) planilamellata Dennant, 1906 (additional source)
Caryophyllia (Caryophyllia) polygona Pourtalès, 1878 (additional source)
Caryophyllia (Caryophyllia) profunda Moseley, 1880 (additional source)
Caryophyllia (Caryophyllia) quadragenaria Alcock, 1902 (additional source)
Caryophyllia (Caryophyllia) rugosa Moseley, 1880 (additional source)
Caryophyllia (Caryophyllia) sarsiae Zibrowius, 1974 (additional source)
Caryophyllia (Caryophyllia) scobinosa Alcock, 1902 (additional source)
Caryophyllia (Caryophyllia) seguenzae Duncan, 1873 (additional source)
Caryophyllia (Caryophyllia) smithii Stokes & Broderip, 1828 (additional source)
Caryophyllia (Caryophyllia) solida Cairns, 1991 (additional source)
Caryophyllia (Caryophyllia) squiresi Cairns, 1982 (additional source)
Caryophyllia (Caryophyllia) valdiviae Zibrowius & Gili, 1990 (additional source)
Caryophyllia (Caryophyllia) zopyros Cairns, 1979 (additional source)
Ceratotrochus diadema Moseley, 1876 accepted as Stephanocyathus (Stephanocyathus) diadema (Moseley, 1876) (basis of record)
Ceratotrochus discoides Moseley, 1876 accepted as Stephanocyathus (Stephanocyathus) diadema (Moseley, 1876) (basis of record)
Ceratotrochus hispidus Pourtalès, 1878 accepted as Pourtalocyathus hispidus (Pourtalès, 1878) (basis of record)
Ceratotrochus laxus Vaughan, 1907 (additional source)
Ceratotrochus nobilis Moseley, 1876 accepted as Stephanocyathus (Odontocyathus) nobilis (Moseley, 1876) (basis of record)
Citharocyathus conicus Alcock, 1902 accepted as Notocyathus conicus (Alcock, 1902) (basis of record)
Coenocyathus apertus Döderlein, 1913 accepted as Phyllangia americana americana Milne Edwards & Haime, 1849 (basis of record)
Coenocyathus cylindricus Milne Edwards & Haime, 1848 (additional source)
Coenosmilia arbuscula Pourtalès, 1874 accepted as Anomocora fecunda (Pourtalès, 1871) (additional source)
Concentrotheca laevigata (Pourtalès, 1871) (additional source)
Conotrochus asymmetros Cairns, 1999 (additional source)
Conotrochus brunneus (Moseley, 1880) (additional source)

 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]