Class †Placodermi McCoy, 1848
   Order †Arthrodira Woodward, 1891 see [unranked] Arthrodira Woodward, 1891
     1 Genus †Kujdanowaspis orth. inval. see Genus Kujdanowiaspis Stensiö, 1942
     2.1 Genus †Turriaspis orth. inval. see Genus Turrisaspis Daeschler, Frumes & Mullison, 2003
     2.2.1 Genus †Dicksonosteus Goujet, 1975
     2.2.2.1 Genus †Holonema Newberry, 1890
     2.2.2.2.1.1 Genus †Homosteus Woodward, 1891 see Genus Homostius Asmuss, 1856
     2.2.2.2.1.2 Genus †Antinosteus "Lelièvre, 1984", orth. inval. see Genus Antineosteus Lelièvre, 1984
     2.2.2.2.2.1 Genus †Buchanosteus Stensiö, 1945
     2.2.2.2.2.2.1 Genus †Westralichthys Long, 1987, sedis mutabilis
     2.2.2.2.2.2.2 Genus †Xiangshuiosteus Wang, 1992, sedis mutabilis
     2.2.2.2.2.2.3.1 Genus †Protitanichthys Eastman, 1907
     2.2.2.2.2.2.3.2.1 Genus †Janiosteus Ivanov, 1988, sedis mutabilis
     2.2.2.2.2.2.3.2.2 Genus †Panxiosteus Wang, 1979, sedis mutabilis
     2.2.2.2.2.2.3.2.3 Genus †Plourdosteus Ørvig, 1951, sedis mutabilis
     2.2.2.2.2.2.4.1 †Eastmanosteus calliaspis Dennis-Bryan, 1987
     2.2.2.2.2.2.4.2.1 †Eastmanosteus pustulosus (Eastman, 1897), sedis mutabilis
     2.2.2.2.2.2.4.2.2 Genus †Golshanichthys Lelièvre, Janvier & Goujet, 1981, sedis mutabilis
     2.2.2.2.2.2.4.2.3 Genus †Kiangyousteus Liu, 1955, sedis mutabilis
     2.2.2.2.2.2.4.2.4.1 †Dunkleosteus raveri Carr & Hlavin, 2010
     2.2.2.2.2.2.4.2.4.2 †Dunkleosteus terrelli (Newberry, 1873)
     2.2.2.2.2.2.4.2.5.1 †Dunkleosteus amblyodoratus Carr & Hlavin, 2010
     2.2.2.2.2.2.4.2.5.2.1 Genus †Yinosteus "Wang & Wang, 1984", orth. inval. see Genus Yinostius Wang & Wang, 1984
     2.2.2.2.2.2.4.2.5.2.2 Genus †Heterostius Asmuss, 1856
     2.2.2.2.2.2.5.1 †coccosteids Asmuss, 1856
     2.2.2.2.2.2.5.2.1 Genus †Rhachiosteus Gross, 1938
     2.2.2.2.2.2.5.2.2.1 Genus †Tapinosteus
     2.2.2.2.2.2.5.2.2.2.1 Genus †Trematosteus Gross, 1932
     2.2.2.2.2.2.5.2.2.2.2.1.1 Genus †Bruntonichthys Dennis & Miles, 1980
     2.2.2.2.2.2.5.2.2.2.2.1.2 Genus †Kendrickichthys Dennis & Miles, 1980
     2.2.2.2.2.2.5.2.2.2.2.2.1 Genus †Bullerichthys Dennis & Miles, 1980
     2.2.2.2.2.2.5.2.2.2.2.2.2.1 Genus †Dinichthys Newberry, 1868
     2.2.2.2.2.2.5.2.2.2.2.2.2.2.1 Genus †Hadrosteus Gross, 1932
     2.2.2.2.2.2.5.2.2.2.2.2.2.2.2 †Aspinothoracida see [unranked] Aspinothoracidi Stensiö, 1959