Alveopora polyacantha Reuss, 1866 † (basis of record)
Amphihelia granulata Tenison-Woods, 1880 † accepted as Madrepora granulata (Tenison-Woods, 1880) † (basis of record)
Amphihelia intricata Tenison-Woods, 1880 † accepted as Madrepora granulata (Tenison-Woods, 1880) † (source of synonymy)
Amphihelia ramosa Tenison-Woods, 1880 † accepted as Madrepora granulata (Tenison-Woods, 1880) † (source of synonymy)
Asterosmilia aliquantula Squires, 1958 † (original description)
Balanophyllia (Balanophyllia) alta Tenison-Woods, 1880 † (new combination reference)
Balanophyllia (Balanophyllia) campanulata Duncan, 1870 † (new combination reference)
Balanophyllia (Eupsammia) hectori Tenison-Woods, 1880 † (new combination reference)
Balanophyllia (Eupsammia) zelandiae Squires, 1958 † (original description)
Balanophyllia salpynx Squires, 1958 † represented as Balanophyllia (Balanophyllia) salpynx Squires, 1958 † (original description)
Bantamia condocostata Squires, 1958 † (original description)
Caryophyllia clavus Scacchi, 1835 accepted as Caryophyllia (Caryophyllia) smithii Stokes & Broderip, 1828 (additional source)
Caryophyllia clavus coronatus (Tenison-Woods, 1880) (new combination reference)
Caryophyllia clavus zelandiae Squires, 1958 † (original description)
Caryophyllia japonica Marenzeller, 1888 represented as Caryophyllia (Caryophyllia) japonica Marenzeller, 1888 (additional source)
Caryophyllia lamellifera Moseley, 1880 represented as Caryophyllia (Caryophyllia) lamellifera Moseley, 1880 (additional source)
Ceratotrochus (Ceratotrochus) exiguus Squires, 1958 † (original description)
Ceratotrochus (Conotrochus) typus (Sequenza, 1864) † (basis of record)
Ceratotrochus (Conotrochus) typus var. australiensis (Duncan, 1870) † accepted as Ceratotrochus australiensis (Duncan, 1870) † (new combination reference)
Conocyathus scrobiculatus Dennant, 1902 accepted as Conocyathus zelandiae Duncan, 1876 (source of synonymy)
Conocyathus zelandiae Duncan, 1876 (additional source)
Cyathoceras rubescens Moseley, 1880 accepted as Crispatotrochus rubescens (Moseley, 1880) (additional source)
Cylindrophyllia Yabe & Eguchi, 1937 accepted as Peponocyathus Gravier, 1915 (additional source)
Cylindrophyllia minima (Yabe & Eguchi, 1937) accepted as Peponocyathus minimus (Yabe & Eguchi, 1937) (additional source)
Dasmosmilia spissa Squires, 1958 † (original description)
Deltocyathus complanatus Squires, 1958 † (original description)
Dendrophyllia boschmai van der Horst, 1926 (additional source)
Discotrochus astericus Squires, 1958 † accepted as Peponocyathus astericus (Squires, 1958) † (original description)
Flabellum apertum apertum Moseley, 1876 accepted as Flabellum (Ulocyathus) apertum Moseley, 1876 (new combination reference)
Flabellum apertum deludens Marenzeller, 1904 accepted as Flabellum (Ulocyathus) deludens Marenzeller, 1904 (new combination reference)
Flabellum campanulatum Holdsworth, 1862 represented as Flabellum (Flabellum) campanulatum Holdsworth, 1862 (basis of record)
Flabellum circulare Tenison-Woods, 1880 † accepted as Flabellum (Flabellum) pavoninum Lesson, 1831 (additional source)
Flabellum laticostatum Tenison-Woods, 1880 † accepted as Flabellum (Flabellum) pavoninum Lesson, 1831 (source of synonymy)
Flabellum mariae Tenison-Woods, 1880 † accepted as Flabellum (Flabellum) pavoninum Lesson, 1831 (source of synonymy)
Flabellum medioplicatum Dennant, 1904 † accepted as Flabellum (Flabellum) pavoninum Lesson, 1831 (source of synonymy)
Flabellum microscriptum Dennant, 1904 † accepted as Monomyces rubrum (Quoy & Gaimard, 1833) (source of synonymy)
Flabellum nobile Holdsworth, 1862 accepted as Flabellum (Flabellum) campanulatum Holdsworth, 1862 (source of synonymy)
Flabellum pavoninum Lesson, 1831 represented as Flabellum (Flabellum) pavoninum Lesson, 1831 (additional source)
Flabellum pavoninum circulare Tenison-Woods, 1880 † accepted as Flabellum (Flabellum) pavoninum Lesson, 1831 (new combination reference)
Flabellum pavoninum distinctum Milne Edwards & Haime, 1848 accepted as Flabellum (Flabellum) pavoninum Lesson, 1831 (new combination reference)
Flabellum pavoninum pavoninum Lesson, 1831 † accepted as Flabellum (Flabellum) pavoninum Lesson, 1831 (new combination reference)
Flabellum radians Tenison-Woods, 1880 † accepted as Flabellum (Flabellum) pavoninum Lesson, 1831 (additional source)
Flabellum rubrum rubrum (Quoy & Gaimard, 1833) accepted as Monomyces rubrum (Quoy & Gaimard, 1833) (new combination reference)
Flabellum rubrum sphenodeum Tenison-Woods, 1880 † accepted as Truncatoflabellum sphenodeum (Tenison-Woods, 1880) † (new combination reference)
Graphularia longissima Squires, 1958 † (original description)
Haimesiastraea anchistina Squires, 1958 † (original description)
Lobophyllia japonica (Yabe & Sugiyama, 1931) † accepted as Cynarina lacrymalis (Milne Edwards & Haime, 1849) (new combination reference)
Lophelia parvisepta (Tenison-Woods, 1880) † (new combination reference)
Madracis dodecachora Squires, 1958 † (original description)
Madrepora granulata (Tenison-Woods, 1880) † (new combination reference)
Moltkia advena Squires, 1958 † (original description)
Monomyces rubrum f. nobile (Holdswworth, 1862) accepted as Flabellum (Flabellum) campanulatum Holdsworth, 1862 (source of synonymy)
Notocyathus (Paradeltocyathus) cuspidatum Squires, 1958 † accepted as Peponocyathus cuspidatus (Squires, 1958) † (original description)
Notocyathus (Paradeltocyathus) orientalis (Duncan, 1876) accepted as Peponocyathus orientalis (Duncan, 1876) (new combination reference)
Notocyathus (Paradeltocyathus) pedicellatus Tenison-Woods, 1880 † accepted as Peponocyathus pedicellatus (Tenison-Woods, 1880) † (new combination reference)
Notocyathus conicus (Alcock, 1902) (additional source)
Oculina nefrens Squires, 1958 † (original description)
Oculina oamaruensis Park, 1917 † (basis of record)
Oculina virgosa Squires, 1958 (original description)
Scolangia parvisepta Tenison-Woods, 1880 † accepted as Lophelia parvisepta (Tenison-Woods, 1880) † (new combination reference)
Sphenotrochus aschistus Squires, 1958 † (original description)
Sphenotrochus coronatus Tenison-Woods, 1880 † accepted as Caryophyllia clavus coronatus (Tenison-Woods, 1880) (new combination reference)
Sporadopora cleithridium Squires, 1958 † accepted as Axopora cleithrideum (Squires, 1958) † (original description)
Stephanocyathus (Odontocyathus) ixine Squires, 1958 † accepted as Stephanocyathus (Odontocyathus) coronatus (Pourtalès, 1867) (original description)
Stephanocyathus (Odontocyathus) japonicus Yabe & Eguchi, 1932 † accepted as Stephanocyathus (Odontocyathus) mantelli (Milne Edwards & Haime, 1857) † (basis of record)
Stephanocyathus (Odontocyathus) mantelli (Milne Edwards & Haime, 1857) † (new combination reference)
Stephanocyathus (Odontocyathus) tatei (Dennant, 1899) † accepted as Stephanocyathus (Acinocyathus) spiniger (Marenzeller, 1888) (new combination reference)
Stephanocyathus tatei (Dennant, 1899) † accepted as Stephanocyathus (Acinocyathus) spiniger (Marenzeller, 1888) (new combination reference)
Tortoflabellum Squires, 1958 † (original description)
Tortoflabellum flemingi Squires, 1958 † (original description)
Trochocyathus (Aplocyathus) papakurensis (Clarke, 1905) † (basis of record)
Trochocyathus lemniscatus Squires, 1958 † (original description)
Trochocyathus mantelli Milne Edwards & Haime, 1857 † accepted as Stephanocyathus (Odontocyathus) mantelli (Milne Edwards & Haime, 1857) † (new combination reference)
Trochocyathus tuberculatus Tenison-Woods, 1880 † accepted as Stephanocyathus (Odontocyathus) mantelli (Milne Edwards & Haime, 1857) † (source of synonymy)
Wellsia Squires, 1958 † accepted as Wellsotrochus Squires, 1960 † (original description)
Wellsia cyathiformis Squires, 1958 † accepted as Wellsotrochus cyathiformis (Squires, 1958) † (original description)

 Nomenclature

 for Notocyathus (Paradeltocyathus) pedicellatus Tenison-Woods, 1880 †

Notocyathus (Paradeltocyathus) is a synonym of Deltocyathoides Yabe & Eguchi, 1932 [details]