Opinions from J. J. Hooker and D. Dashzeveg 2004
- 'Ancylopoda was reranked as a infraorder and belongs to Lophodontomorpha'
- 'Brontotheridae belongs to Titanotheriomorpha'
- 'Cardiolophus belongs to Ancylopoda'
- 'Ceratomorpha was reranked as a unranked clade and belongs to Euperissodactyla'
- 'Chalicotheriidae belongs to Chalicotherioidea'
- 'Chalicotherioidea belongs to Ancylopoda'
- 'Cymbalophus belongs to Equoidea'
- 'Eomoropidae is a subjective synonym of Chalicotheriidae'
- 'Eomoropus belongs to Chalicotheriidae'
- 'Equidae belongs to Equoidea'
- 'Equoidea belongs to Hippomorpha'
- 'Euperissodactyla belongs to Lophodontomorpha'
- 'Heptodon belongs to Tapiroidea'
- 'Hippomorpha was reranked as a unranked clade and belongs to Euperissodactyla'
- 'Homogalax belongs to Ancylopoda'
- 'Homogalax namadicus belongs to Homogalax' according to Dashzeveg 1979
- 'Homogalax namadicus belongs to Homogalax'
- 'Hyracotherium belongs to Palaeotheriidae'
- 'Hyracotherium gabuniai is recombined as Protomoropus gabuniai'
- 'Hyracotherium gabuniai is recombined as Orientolophus gabuniai' according to Ting 1993
- 'Hyracotherium gabuniai is recombined as Orientolophus gabuniai' according to Ting 1998
- 'Isectolophidae is an invalid subgroup of Ancylopoda'
- 'Isectolophus belongs to Ancylopoda'
- 'Karagalax belongs to Ceratomorpha'
- 'Lambdotherium belongs to Brontotheridae'
- 'Litolophus belongs to Chalicotheriidae'
- 'Lophiaspis belongs to Lophiodontidae'
- 'Lophiodon belongs to Lophiodontidae'
- 'Lophiodontidae belongs to Chalicotherioidea'
- 'Lophocion belongs to Phenacodontidae'
- 'Lophodontomorpha belongs to Perissodactyla'
- 'Orientolophus belongs to Lophodontomorpha'
- 'Orientolophus hengdongensis belongs to Orientolophus'
- 'Pachynolophus belongs to Ceratomorpha'
- 'Palaeotheriidae belongs to Equoidea'
- 'Paleomoropus belongs to Lophiodontidae'
- 'Pliolophus belongs to Equidae'
- 'Protomoropus belongs to Chalicotherioidea'
- 'Rhinocerotoidea belongs to Ceratomorpha'
- 'Selenida is an invalid subgroup of Perissodactyla'
- 'Sifrhippus belongs to Equoidea'
- 'Tapiroidea belongs to Ceratomorpha'
- 'Tapiromorpha is an invalid subgroup of Lophodontomorpha'
- 'Titanotheriomorpha belongs to Perissodactyla'