Acropora Oken, 1815 (original description)
Acropora damicornis (Linnaeus, 1758) accepted as Pocillopora damicornis (Linnaeus, 1758) (new combination reference)
Acropora muricata (Linnaeus, 1758) (additional source)
Acropora porites (Pallas, 1766) accepted as Porites porites (Pallas, 1766) (new combination reference)
Agaricia (Undaria) agaricites (Linnaeus, 1758) accepted as Agaricia agaricites (Linnaeus, 1758) (new combination reference)
Astrea intersepta (Esper, 1795) accepted as Stephanocoenia intersepta (Esper, 1795) (new combination reference)
Astrea radians astroites Oken, 1815 accepted as Siderastrea radians (Pallas, 1766) (original description)
Favia Oken, 1815 accepted as Favia De Blainville, 1820 (original description)
Favia cavernosa (Linnaeus, 1767) accepted as Montastraea cavernosa (Linnaeus, 1767) (new combination reference)
Favia cavernosa astroites Oken, 1815 accepted as Montastraea cavernosa (Linnaeus, 1767) (new combination reference)
Favia favites (Esper, 1795) accepted as Favites favosa (Ellis & Solander, 1786) (basis of record)
Favia favites favosa (Ellis & Solander, 1786) accepted as Favites favosa (Ellis & Solander, 1786) (new combination reference)
Fungia limax (Esper, 1792) accepted as Herpolitha limax (Esper, 1792) (new combination reference)
Fungia talpa Lamarck, 1816 accepted as Polyphyllia talpina (Lamarck, 1801) (additional source)
Galaxea Oken, 1815 (original description)
Galaxea anthophyllites (Ellis & Solander, 1786) accepted as Pourtalosmilia anthophyllites (Ellis & Solander, 1786) (new combination reference)
Galaxea anthophyllites (Ellis & Solander, 1786) accepted as Pourtalosmilia anthophyllites (Ellis & Solander, 1786) (additional source)
Galaxea anthophyllum (Esper, 1789) accepted as Caryophyllia (Caryophyllia) cyathus (Ellis & Solander, 1786) (new combination reference)
Galaxea caryophyllites fascicularis (Linnaeus, 1767) accepted as Galaxea fascicularis (Linnaeus, 1767) (new combination reference)
Galaxea cuspidata (Esper, 1789) accepted as Galaxea fascicularis (Linnaeus, 1767) (new combination reference)
Galaxea cyathus (Ellis & Solander, 1786) accepted as Caryophyllia (Caryophyllia) cyathus (Ellis & Solander, 1786) (new combination reference)
Galaxea musicalis (Linnaeus, 1767) accepted as Galaxea astreata (Lamarck, 1816) (additional source)
Galaxea organum (Linnæus, 1758) † accepted as Sarcinula organum (Linnæus, 1758) † (new combination reference)
Galaxea organum musicalis (Linnaeus, 1767) accepted as Galaxea astreata (Lamarck, 1816) (new combination reference)
Maeandra Oken, 1815 accepted as Meandrina Lamarck, 1801 (original description)
Maeandra areola (Esper, 1791) accepted as Manicina areolata (Linnaeus, 1758) (basis of record)
Maeandra areolata (Linnaeus, 1758) accepted as Manicina areolata (Linnaeus, 1758) (new combination reference)
Maeandra maeandrites (Linnaeus, 1758) accepted as Meandrina meandrites (Linnaeus, 1758) (new combination reference)
Matrepora Linnaeus, 1758 accepted as Madrepora Linnaeus, 1758 (basis of record)
Matrepora acropora (Linnaeus, 1767) (basis of record)
Matrepora boletiformis (Esper, 1791) accepted as Pavona cactus (Forskål, 1775) (basis of record)
Matrepora caespitosa (Linnaeus, 1767) accepted as Cladocora caespitosa (Linnaeus, 1767) (basis of record)
Matrepora calycularis (Pallas, 1766) accepted as Astroides calycularis (Pallas, 1766) (basis of record)
Matrepora cellulosa (Esper, 1790) (basis of record)
Matrepora cinerascens (Ellis & Solander, 1786) (basis of record)
Matrepora conglomerata (Esper, 1792) accepted as Porites solida (Forskål, 1775) (basis of record)
Matrepora contigua (Esper, 1794) accepted as Psammocora contigua (Esper, 1794) (basis of record)
Matrepora cuspidata (Esper, 1789) accepted as Galaxea fascicularis (Linnaeus, 1767) (basis of record)
Matrepora daedalea (Ellis & Solander, 1786) accepted as Platygyra daedalea (Ellis & Solander, 1786) (basis of record)
Matrepora detrita (Esper, 1790) (basis of record)
Matrepora fragum (Esper, 1793) accepted as Favia fragum (Esper, 1793) (basis of record)
Matrepora fungites (Linnaeus, 1758) accepted as Fungia fungites (Linnaeus, 1758) (basis of record)
Matrepora gemmascens (Esper, 1790) accepted as Stylaster gemmascens (Esper, 1790) (basis of record)
Matrepora gyrosa (Ellis & Solander, 1786) accepted as Colpophyllia natans (Houttuyn, 1772) (basis of record)
Matrepora interstincta (Linnaeus, 1767) † accepted as Heliolites interstinctus (Linnaeus, 1767) † (basis of record)
Matrepora lamellosa (Esper, 1791) accepted as Echinopora lamellosa (Esper, 1791) (basis of record)
Matrepora limax (Esper, 1792) accepted as Herpolitha limax (Esper, 1792) (basis of record)
Matrepora natans (Houtuyn, 1772) accepted as Colpophyllia natans (Houttuyn, 1772) (basis of record)
Matrepora oculata (Linnaeus, 1758) accepted as Madrepora oculata Linnaeus, 1758 (basis of record)
Matrepora patinaeformis (Esper, 1795) (basis of record)
Matrepora peltata (Esper, 1790) accepted as Duncanopsammia peltata (Esper, 1790) (basis of record)
Matrepora pentagona (Esper, 1790) accepted as Favites pentagona (Esper, 1790) (basis of record)
Matrepora phrygiana (Esper, 1798) accepted as Psammocora contigua (Esper, 1794) (basis of record)
Matrepora pileus (Linnaeus, 1758) accepted as Halomitra pileus (Linnaeus, 1758) (basis of record)
Matrepora pistillata (Esper, 1792) accepted as Stylophora pistillata (Esper, 1792) (basis of record)
Matrepora polygama (Linnaeus, 1758) (basis of record)
Matrepora porcata (Esper, 1794) accepted as Dichocoenia stokesii (Milne Edwards & Haime, 1849) (basis of record)
Matrepora prolifera (Pallas, 1766) accepted as Desmophyllum pertusum (Linnaeus, 1758) (basis of record)
Matrepora punctata (Linnaeus, 1758) accepted as Stylaraea punctata (Linnaeus, 1758) (basis of record)
Matrepora radiata (Ellis & Solander, 1786) accepted as Montastraea cavernosa (Linnaeus, 1767) (basis of record)
Matrepora rosacea (Esper, 1789) (basis of record)
Matrepora talpa (Houttuyn, 1772) accepted as Herpolitha limax (Esper, 1792) (basis of record)
Matrepora truncata (Linnaeus, 1758) accepted as Cyathophyllum truncatum (Linnaeus, 1758) † (basis of record)
Matrepora uva (Esper, 1790) accepted as Dipsastraea favus (Forskål, 1775) (basis of record)
Matrepora verrucaria (Linnaeus, 1758) (basis of record)
Matrepora virginea (Linnaeus, 1758) accepted as Oculina diffusa Lamarck, 1816 (basis of record)
Meandra Oken, 1815 accepted as Meandrina Lamarck, 1801 (original description)
Meandra labyrinthiformis Oken, 1815 accepted as Meandrina meandrites (Linnaeus, 1758) (original description)
Mussa Oken, 1815 (original description)
Mussa dianthus (Esper, 1794) accepted as Desmophyllum dianthus (Esper, 1794) (new combination reference)
Mussa dianthus (Esper, 1794) accepted as Desmophyllum dianthus (Esper, 1794) (additional source)
Mussa fastigiata (Ellis & Solander, 1786) accepted as Mussa angulosa (Pallas, 1766) (additional source)
Mycedium Oken, 1815 accepted as Mycedium Milne Edwards & Haime, 1851 (original description)
Mycedium ampliatum (Ellis & Solander, 1786) accepted as Merulina ampliata (Ellis & Solander, 1786) (basis of record)
Mycedium cucullatum (Ellis & Solander, 1786) accepted as Helioseris cucullata (Ellis & Solander, 1786) (additional source)
Mycedium cucullatum (Ellis & Solander, 1786) accepted as Helioseris cucullata (Ellis & Solander, 1786) (new combination reference)
Mycedium elephantotus (Pallas, 1766) (additional source)
Pectinia Oken, 1815 accepted as Pectinia Blainville, 1825 (original description)
Pectinia Blainville, 1825 (original description (unavailable nomenclaturally))
Pectinia foliosa (Pallas, 1766) accepted as Montipora foliosa (Pallas, 1766) (new combination reference)
Pectinia lactuca (Pallas, 1766) (new combination reference)
Pectinia pectinata (Lamarck, 1801) accepted as Meandrina meandrites (Linnaeus, 1758) (new combination reference)
Turbinaria Oken, 1815 (original description)
Turbinaria cinerascens (Ellis & Solander, 1786) (new combination reference)
Turbinaria crater (Pallas, 1766) (new combination reference)
Undaria Oken, 1815 accepted as Agaricia Lamarck, 1801 (original description)
Undaria agaricites (Linnaeus, 1758) accepted as Agaricia agaricites (Linnaeus, 1758) (new combination reference)
Undaria undata (Ellis & Solander, 1786) accepted as Agaricia undata (Ellis & Solander, 1786) (new combination reference)

 Taxonomic remark

 for Nais furcata Oken, 1815

Oken (1815) regarded Nais furcata as a synonym of Dero digitata [details]