Chordata
Classification
The traditional classification of vertebrates is a mess, with a wide variety of paraphyletic groups that have either been abandoned or extended (here marked B). Unfortunately, no particularly standard system has settled in to replace it; the problem is there have been too many adaptive radiations. For now, here is a minimal tree of living forms including most traditionally class-sized groups:
:Urochordata
:Cephalochordata
:Craniata
::Myxini (hagfish)
::Vertebrata
:::Petromyzontiformes (lampreys)
:::Gnathostoma
::::Chondrichthyes (cartiligenous fish)
::::Osteichthyes B
:::::Actinopterygii (ray-finned fish)
:::::Sarcopterygii B
::::::Coelocanthamorpha
::::::Dipnoi (lungfish)
::::::Tetrapoda
:::::::Lissamphibia (frogs, toads, salamanders)
:::::::Amniota
::::::::Mammalia
::::::::Chelonia (turtles)
::::::::Squamata (lizards, snakes)
::::::::Sphenodontida (tuataras)
::::::::Crocodylomorpha (crocodiles, alligators)
::::::::Aves (birds)
Information on characteristics of each group and a more detailed classification thereof should probably go under its headline - eg details of skeletal system and listing of jawless fishes under Vertebrata.
Subphylum Urochordata (Tunicata)
Class Ascidiacea
Class Thaliacea
Class Appendicularia or Larvacea
Subphylum Cephalochordata
Class Cephalochordata or Acraniata or Leptocardia (Lancets)
Subphylum Vertebrata
Superclass Agnatha ("Without jaws")
Class Ostracodermi
Class Cyclostomata
Class Myxini
Class Cephalaspidomorpha
Superclass Gnathostomata ("Jawed mouth")
Class Placodermi (an extinct fish)
Class Chondrichthyes (cartilaginous fishes)
Class Osteichthyes (bony fishes)
Class Amphibia or Anamnia (amphibians)
Class Reptilia (reptiles)
Class Aves or Sauropsida (birds)
Class Mammalia (mammals)