After Brazeau, 2009, and Davis, Finarelli & Coates, 2012

<==o Gnathostomata Gegenbaur, 1874 (jawed vertebrates; leualliset selkärankaiset)
   `==o †Placodermi McCoy, 1848 [Placodermiomorphi] (placoderms; panssarikalat)
      |?- †Brindabellaspis stensioi Young, 1980 [Brindabellaspida Gardiner, 1993]
      |?- †Stensiolla heintzi [Stensioellida Carroll, 1988: Stensioellidae]
      |?-o †Paraplesiobatidae Berg 1940 [Pseudopetalichthyida Denison 1975; Pseudopetalichthyiformes]
      |  |-- †Nessariostoma granulosum Broili, 1933
      |  |-- †Paraplesiobatis heinrichsi Broili, 1933
      |  `-- †Pseudopetalichthys problematica Moy-Thomas, 1939 [Parapetalichthys Kuhn, 1949]
      |?- †Petalichthyida Jaeckel, 1911 [Petalichthyiformes]
      |?- †Phyllolepididae Agassiz, 1844 [Phyllolepida Stensiö, 1934]
      `--+--+-- †Acanthothoraci Stensiö, 1944
         |  `-- †Asterosteidae [Rhenanida Broili, 1930]
         `--+-- †Antiarchi Cope, 1885
            `--+-- †Ptyctodontidae Gross, 1932 [Ptyctodontida Gross, 1932]
               |-- †Arthrodira Woodward, 1891
               |-- †Entelognathus primordalis Zhu, Yu, Ahlberg, Choo, Lu, Qiao, Qu, Zhao, Jia, Blom & Zhu, 2013; L.Sil. EAs.
               `--o Eugnathostomata [paraphyletic Acanthodii Owen, 1846]
                  |==Diplacanthida Berg, 1940 [Diplacanthiformes Berg, 1940]
                  `--+-- †Ischnacanthiformes Berg, 1940
                     `--+==o Climatiida Berg, 1940
                        |  |-- †Gyracanthidae Woodward, 1906
                        |  |-- †Climatiidae Berg, 1940
                        |  `--+-- †Lupopsyrus pygmaeus Bernacsek & Dineley, 1977, E.Dev. WNNAm.
                        |     `-- Chondrichthyes Huxley, 1880 [Chondrichthiomorphi] (rustokalat; sharks & rays)
                        `--+-- †Acanthodiformes [Acanthodidae sensu Carroll, 1988]
                           `--o Osteichthyes Huxley, 1880 [Neoteleostomi] (bonefishes; luukalat)
                              |?-o †Lophosteus Pander, 1856 [Lophosteiformes Gross, 1969: †Lophosteidae Gross, 1969]
                              |  |-- †L. superbus Pander, 1856
                              |  |-- †L. connexus Märss, 1986
                              |  `-- †L. ohesaarensis Schultze & Märss, 2004
                              |?- †Naxilepis Wang & Dong, 1989
                              |-- Sarcopterygii Romer, 1955 (flesh-finned bonefishes, including tetrapods; lihaseväiset luukalat)
                              `-- Actinopterygii Klein, 1885 (non? Cope, 1887) (viuhkaeväiset luukalat; ray-finned bonefishes)


After Carroll, 1988, Nelson, 1994 and Zhu, Yu & Janvier, 1999

<==o Gnathostomata
   |?- †Placodermi
   `--+-- Chondrichthyes
      `--o Teleostomi
         |-- †Acanthodii
         `--o Osteichthyes
            `--+-- Sarcopterygii
               `-- Actinopterygii

Reference(s):