Actinastraeidae Alloiteau, 1952 † accepted as Actinastreidae Alloiteau, 1952 † (additional source)
Archaeosmiliidae Melnikova, 1975 † (basis of record)
Archaeosmiliopsis Melnikova, 1975 † (basis of record)
Epismilia thurmanni (Étallon, 1864) † accepted as Parepismilia thurmanni (Étallon, 1864) † (new combination reference)
Fungiaphyllia Melnikova & Roniewicz, 2017 † (original description)
Fungiaphyllia communis Melnikova & Roniewicz, 2017 † (original description)
Gigantostyliidae Frech, 1890 † (basis of record)
Guembelastraea Cuif, 1976 † (basis of record)
Guembelastraea dronovi Melnikova & Roniewicz, 2017 † (original description)
Guembelastraea guembeli (Laube, 1865) † (basis of record)
Heterastraea Tomes, 1888 † (basis of record)
Hexanthiniaria † (additional source)
Lepidophyllia Duncan, 1868 † (additional source)
Oppelismilia Duncan, 1867 † (additional source)
Oppelismilia gemmans Duncan, 1867 † (additional source)
Oppelismilia spectabilis Melnikova & Roniewicz, 2017 † (original description)
Oppelismiliidae Melnikova & Roniewicz, 2017 † (original description)
Parepismilia L. Beauvais, 1964 † (basis of record)
Parepismilia dolichostoma Melnikova & Roniewicz, 2017 † (original description)
Parepismilia dronovi Melnikova & Roniewicz, 2017 † (original description)
Parepismiliidae Melnikova & Roniewicz, 2017 † (original description)
Phacelophyllia L. Beauvais, 1986 † (source of synonymy)
Stephanastrea Étallon, 1864 † (basis of record)
Stephanastrea ramulifera Étallon, 1864 † (basis of record)
Stylophyllidae Frech, 1890 † (basis of record)
Stylophyllopsis Frech, 1890 † (basis of record)
Stylophyllopsis polyactis Frech, 1890 † (basis of record)
Thecactinastraea L. Beauvais, 1986 † (basis of record)
Thecactinastraea fasciculata L. Beauvais, 1986 † (basis of record)
Tropiastraeidae Cuif, 1977 † (basis of record)