Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Vertebrata Lamarck, 1801 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
         Myopterygii Janvier, 1978 - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Teleostomi Bonaparte, 1836 see Clade Pan-Osteichthyes Rowe 2004 [Moore & Near 2020]
               Euteleostomi - bony vertebrates see Clade Osteichthyes Huxley 1880 [Moore & Near 2020]
                 Class Actinopterygii Woodward, 1891 - ray-finned fishes see Clade Actinopterygii Woodward 1891 [Moore & Near 2020]
                   Subclass Neopterygii Regan, 1923
                     Division Teleostei Müller, 1845
                       Elopocephala Arratia, 1999 see Supercohort Teleocephala de Pinna, 1996
                         Clupeocephala Patterson & Rosen, 1977 see Cohort Clupeocephala Patterson & Rosen, 1977
                           Subdivision Euteleostei Greenwood et al., 1966 [monophyletic?] see Cohort Euteleostei Greenwood et al., 1966
                             Neoteleostei Nelson, 1969 - neoteleosts see Infracohort Neoteleostei Nelson, 1969
                               Eurypterygii Rosen, 1973 - eurypterygians see Infracohort Eurypterygia Rosen, 1973
                                 Ctenosquamata - ctenosquamates see Section Ctenosquamata Rosen, 1973
                                   Acanthomorpha Rosen, 1973 - spiny-rayed fishes see Subsection Acanthomorphata Rosen, 1973
                                     Euacanthomorpha Johnson & Patterson, 1993
                                       Holacanthopterygii Johnson & Patterson, 1993
                                         Superorder Paracanthopterygii Greenwood, Rosen, Weitzman & Myers, 1966 [polyphyletic?] see Division Paracanthopterygii Greenwood, Rosen, Weitzman & Myers, 1966
                                           anacanthines [monophyletic?] - anacanthines see Order Gadiformes Goodrich, 1909
                                             Pediculati sedis mutabilis [monophyletic?]
                                               Order Batrachoidiformes Berg, 1937 [monotypic] - toadfishes
                                                 Family Batrachoididae Jordan, 1896 (1835) - toadfishes
                                                   Subfamily Batrachoidinae Jordan, 1896 (1835)
                                                     Genus Allenbatrachus Greenfield, 1997
                                                     Genus Amphichthys Swainson, 1839
                                                     Genus Austrobatrachus Smith, 1949
                                                     Genus Barchatus Smith, 1952
                                                     Genus Batrachoides Lacepède, 1800
                                                     Genus Batrachomoeus Ogilby, 1908
                                                     Genus Batrichthys Smith, 1934
                                                     Genus Bifax Greenfield, Mee & Randall, 1994
                                                     Genus Chatrabus Smith, 1949
                                                     Genus Halophryne Gill, 1863
                                                     Genus Opsanus Rafinesque, 1818 - toadfish
                                                     Genus Perulibatrachus Roux & Whitley, 1972
                                                     Genus Potamobatrachus Collette, 1995
                                                     Genus Riekertia Smith, 1952
                                                     Genus Sanopus Smith, 1952
                                                     Genus Tharbacus Smith, 1952 see Genus Chatrabus Smith, 1949
                                                     Genus Triathalassothia Fowler, 1943
                                                     Genus Halobatrachus Ogilby, 1908