Family † Pterichthyodidae Stensiö 1948

†Pterichthidae M’Coy in Sedgwick & M’Coy 1855: 579 (family) † Pterichthys Agassiz 1841 [type genus preoccupied by Pterichthys Swainson 1839 in fishes Apistidae; invalid, Art. 39; family name sometimes seen as †Pterichthyidae]

†Ceraspidae Woodward 1891a: 233 (family) † Ceraspis Schlüter 1887 [type genus preoccupied by Ceraspis Le Peletier & Audinet Serville 1825 in Coleoptera; invalid, Art. 39; family name sometimes seen as † Ceraspididae]

†Byssacanthidae Gross 1937: 19 (family) † Byssacanthus Agassiz 1845 [type genus inferred from the stem, Art. 11.7.1.1; name only, but used as valid by Romer 1945: 575 and (as subfamily) by Stensiö 1948: 219 and by Gross 1965: 15 Art. 13.2.1; subfamily name sometimes seen as †Byssacanthidinae]

†Cornaspidae Whitley 1940: 242 (family) † Cornaspis Whitley 1940 [name only, but as substitute for †Ceraspidae; also used as valid by Fowler 1965b: 346 Art. 13.2.1; senior objective synonym of †Grossaspidae Stensiö 1959]

† Pterichthyodidae Stensiö 1948: 38 (family) † Pterichthyodes Bleeker 1859

†Gerdalepinae Stensiö 1948: 219 (subfamily) † Gerdalepis Hoffmann 1916 [family name sometimes seen as †Gerdalepididae]

†Grossaspidae Stensiö 1959: 7 (family) † Grossaspis White & Moy-Thomas 1940 [name only; junior objective synonym of †Cornaspidae Whitley 1940, invalid, Art. 61.3.2]