Vertebrata Cuvier, 1812 - vertebrates
Class Agnatha Cope, 1889 [paraphyletic]
Subclass †Pteraspidomorphi Goodrich, 1909
see Class Pteraspidomorphi Goodrich, 1909
Order †Thelodontida
see Order Thelodonti Jaekel, 1911
1 Family †Katoporidae Karatajūtė-Talimaa, 1970
see Family Katoporodidae Märss, Wilson & Thorsteinsson, 2002
2 Family †Loganiidae Karatajute-Talimaa, 1978, nom. illeg.
see Family Loganelliidae Karatajūtė-Talimaa, 1997
3 Family †Turiniidae Obruchev, 1964 [monotypic]
4 Family †Apalolepididae Turner, 1976
5 Family †Nikoliviidae Karatajūtė-Talimaa, 1978