†Placodermi McCoy, 1848
†Arthrodira Woodward, 1891
†Brachythoraci Gross, 1932
†Eubrachythoraci Miles, 1971
†Pachyosteomorphi Stensiö, 1944
Superfamily †Dunkleosteoidea Stensiö, 1963
Family †Panxiosteidae Wang, 1979
1 Genus †Panxiosteus Wang, 1979 [monotypic]
2 Genus †Janiosteus Ivanov, 1988 [monotypic]
3 ?Genus †Plourdosteus Ørvig, 1951