Camarodonta are defined by their lantern structure and so the attribution of many fossil genera is tenuous. All extant (crown-group) camarodonts have imperforate tubercles and echinid-style ambulacral plate compounding.
Mortensen (1943) divided camarodonts into two major groups, the Temnopleuroida and Echinoida, though his definitions of these two groups were not unambiguous. Glyphocyphidae, with their perforate and crenulate tuberculation and monocyclic apical disc, were originally classed as Temnopleuroids, but are more likely stem group members to the Temnopleuroida plus Echinoida.
In the phylogeny of Kroh & Smith (2010) Parasaleniidae come as sister group to the Temnopleuridea plus Echinidea, i.e. they are identified as the sister group to all other extant Camarodonta.
In addition to these two orders the following taxa are probably Camarodonta but cannot be placed with certainty:
Mirechinus Nisiyama 1966
unnamed family (triplacidiids)
Mortensen, T. 1943. A monograph of the Echinoidea III2. Camarodonta 1. C. A. Reizel, Copenhagen.