Taxonomic names from J. A. Long 2011
- Acanthothoraciformes, order [Placodermi]
- Actinolepidoidei, suborder [Arthrodiriformes]
- Antiarchiformes, order [Placodermi]
- Argentiniformes, order [Actinopteri]
- Arthrodiriformes, order [Placodermi]
- Astraspida, subclass (Berg 1940) [Pteraspidomorphi]
- Ateleaspis, Ritchie 1967 [Cephalaspidomorphi]
- Ateleopodomorpha, superorder [Actinopteri]
- Atherinea, superorder [Actinopteri]
- Batoidea () [Chondrichthyes]
- Bothriolepoidei, suborder [Antiarchiformes]
- Cardipeltida [Pteraspidomorphi]
- Cheirolepiformes, order [Actinopteri]
- Chondrichthiomorphi [Gnathostomata]
- Cladistia, subclass (Cope 1870) [Actinopterygii]
- Cladoselachiformes, order [Chondrichthyes]
- Cladoselachimorpha, infraclass [Chondrichthyes]
- Coelacanthimorpha, subclass [Sarcopterygii]
- Conodontomorpha, superclass [Craniata]
- Corvaspidida [Pteraspidomorphi]
- Cyclosqamata, superorder [Actinopteri]
- Cyprinodontea, superorder [Actinopteri]
- Debeeriformes, order [Holocephali]
- Diplorhina, class [Pteraspidomorphi]
- Dipnoiformes, order (Cloutier 1990) [Dipnotetrapodomorpha]
- Dipnotetrapodomorpha, subclass [Sarcopterygii]
- Dipterimorpha, superorder [Dipnotetrapodomorpha]
- Echinochimaeroidei, suborder [Chimaeriformes]
- Elpistostegalia, infraclass (C. L. Camp and H. J. Alison 1961) [Dipnotetrapodomorpha]
- Elpistostegaliformes, order [Dipnotetrapodomorpha]
- Euteleosteii, P. H. Greenwood et al. 1967 [Actinopteri]
- Euteleostomi [Gnathostomata]
- Galeaspidiformes, order [Cephalaspidomorphi]
- Galeomorphi, superorder () [Selachii]
- Galeomorphii, superorder, Compagno 1973 [Chondrichthyes]
- Guidayichthyiformes, order [Actinopteri]
- Helodontiformes, order [Holocephali]
- Holoptychiiformes, order [Porolepiformes]
- Hybodontida [Chondrichthyes]
- Hybodontiformes, order (Patterson 1966) [Chondrichthyes]
- Hyperoartii, order [Petromyzontiformes]
- Hyperotreti, order () [Myxiniformes]
- Iniopterygiformes, order [Holocephali]
- Jamoytiiformes, order [Anaspida]
- Lampriformes, order [Actinopteri]
- Lampriomorpha, superorder [Actinopteri]
- Lepidaspidida [Pteraspidomorphi]
- Leptolepiformes, order [Actinopteri]
- Loganelliformes, order [Gnathostomata]
- Lycopteriformes, order [Actinopteri]
- Meemania, M. Zhu et al. 2006 [Sarcopterygii]
- Menaspiformes, order [Holocephali]
- Mongolepididae, family [Chondrichthyes]
- Mongolepis, Karatajute-Talimaa et al. 1990 [Mongolepididae]
- Monorhina, class [Cephalaspidomorphi]
- Myracanthiodei, suborder [Chimaeriformes]
- Myxini, class [Myxinomorphi]
- Myxinomorphi, superclass [Craniata]
- Onychodontia, order () [Onychodontia]
- Onychodontiformes, order [Sarcopterygii]
- Ophidiformes, order [Actinopteri]
- Orodontiformes, order [Chondrichthyes]
- Ostarioclupeomorpha [Actinopteri]
- Osteolepidiformes, order [Dipnotetrapodomorpha]
- Osteolepidimorpha [Dipnotetrapodomorpha]
- Osteossomorpha [Actinopteri]
- Osteostracomorphii, superclass [Craniata]
- Otocephala [Actinopteri]
- Percomorpha [Actinopteri]
- Petalichthyiformes, order [Placodermi]
- Petromyzontida, class [Petromyzontomorphi]
- Petromyzontomorphi, superclass [Craniata]
- Phanerorhynchiformes, order [Actinopteri]
- Pholidophoriformes, order [Actinopteri]
- Phylctaeniida, suborder [Arthrodiriformes]
- Pituriaspidiformes, order [Cephalaspidomorphi]
- Placodermiomorphi [Gnathostomata]
- Plesioselachus, Anderson et al. 1999 [Chondrichthyes]
- Polymixiformes, order [Actinopteri]
- Pristiphoriformes, order [Selachii]
- Ptyctodontiformes, order [Placodermi]
- Pucapumpella, Maisey and Anderson 2001 [Chondrichthyes]
- Rhenaniformes, order [Placodermi]
- Rhizodontimorpha [Dipnotetrapodomorpha]
- Saccopharygiformes, order [Actinopteri]
- Sandiviformes, order [Gnathostomata]
- Selachii () [Chondrichthyes]
- Seretolepis, Karatajute-Talimaa 1968 [Acanthodii]
- Shieliiformes, order [Gnathostomata]
- Sphenocephaliformes, order [Actinopteri]
- Squalimorphi, superorder [Selachii]
- Squalorajiformes, order [Holocephali]
- Struniiformes, order [Sarcopterygii]
- Styloichthys, Zhu and Yu 2002 [Dipnotetrapodomorpha]
- Teleostomi (Bonaparte 1836) [Gnathostomata]
- Tesseraspidida [Pteraspidomorphi]
- Tolypelepidida [Pteraspidomorphi]
- Xenacanthimorpha, infraclass [Chondrichthyes]
- Yealepis, Burrow and Young 1999 [Acanthodii]
- Yunnanolepida, suborder [Antiarchiformes]
- Yunnanolepidoidei, suborder [Antiarchiformes]