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 Chondrostei Müller, 1844 [monophyletic?]
                     Order †Palaeonisciformes Jarvik, 1961
                       Suborder †Palaeoniscoidei see Order Palaeonisciformes Jarvik, 1961
                         01 Family †Aeduellidae Romer, 1945
                         02 Family †Acrolepidae Aldinger, 1937 see Family Acrolepididae Aldinger, 1937, nom. praeval.
                         03 Family †Amblypteridae Romer, 1945
                         04 Family †Birgeriidae Aldinger, 1937
                         05 Genus †Canobius Traquair, 1881, incertae sedis
                         06 Family †Commentryidae Gardiner, 1963
                         07 Family †Elonichthyidae Aldinger, 1937
                         08 Family †Palaeoniscidae Bonaparte, 1846
                         09 Family †Pygopteridae Fitzinger, 1873
                         10 Family †Rhabdolepidae Gardiner, 1963, nom. illeg. see Family Rhabdolepididae Gardiner, 1963
                         11.1 Family †Rhadinichthyidae Romer, 1945
                         11.2 Family †Aesopichthyidae Poplin & Lund, 2000
                         12 Family †Stegotrachelidae Gardiner, 1963, "nom. praeval."