After Conrad & Norell, 2008, with recent species from Uetz, Etzold & Chenna, 1995-2014 [“The Reptile Database”]

<==o Anguidae Gray, 1825 sensu Conrad & Norrell, 2008 [incl. Bainguidae Borsuk-Bialynicka, 1984; Anniellidae Boulenger, 1885] (vaskitsat)
   |?- †Machaerosaurus torrejonensis Gilmore, 1928
   |?- †Parodaxosaurus sanjuanensis
   |?- †Bainguis parvus Borsuk-Bialynicka, 1984
   |?- †Eodiploglossus
   |?- †Parapseudopus
   |?- †Ophipseudopus
   |?- †Ophisauriscus
   |-- Diploglossinae [Diploglossidae]
   `--+-- †Glyptosaurinae Marsh, 1872 sensu Sullivan, 1986
      `--+-- Gerrhonotinae (alligaattoriliskot)
         `-- Anguinae Gray, 1825 [incl. Anniellidae Boulenger, 1885] (aitovaskitsat)

After Conrad & Norell, 2008 (fig. 9)

<==o Anguidae
   |-- †Odaxosaurus
   |--+-- Celestus costatus
   |  |-- Diploglossus millepunctatus
   |  `-- Ophiodes sp.
   |--+-- †Apodosauriscus minimus
   |  |-- Ophisaurus ventralis
   |  `--+-- Ophisaurus attenuatus
   |     |-- Pseudopus apodus
   |     |-- Dopasia harti
   |     `--+-- †Ophiasauriscus quadrupes
   |        `--+-- Anniella pulchra
   |           `-- Anguis fragilis
   |--+-- †Parophisaurus pawneensis
   |  |-- †Paragerrhonotus ricardensis
   |  `--+-- Gerrhonotus liocephalus
   |     |-- Elgaria multicarinata
   |     `--+-- Barisia imbricata
   |        `-- Abronia deppii
   `--+-- †Xestops vagans
      |-- †Proxestops jepseni
      |--+-- †Paraplacosauriops quercyi
      |  `-- †Peltosaurus granulosus
      `--+--+-- †Arpadosaurus gazinorum
         |  `-- †Melanosaurus maximus
         `--+-- †Placosaurus rugosus
            |-- †Glyptosaurus silvestris
            `--+-- †Proglyptosaurus huerfanensis
               `--+-- †Paraglyptosaurus princeps
                  `-- †Helodermoides tuberculatus

After Wiens & Slingluff, 2001 (vide Conrad & Norell, 2008)

<==o Anguidae
   |--+-- Anniella
   |  `--+--+-- Celestus enneagrammus
   |     |  `-- Diploglossus bilobatus
   |     `--+--+-- Ophiodes striatus
   |        |  `-- Diploglossus pleei
   |        `--+-- Sauresia agasepsoides
   |           `-- Wetmorena haetiana
   `--+--+-- Elgaria
      |  `--+-- Barisia imbricata
      |     `--+-- Gerrhonotus liocephalus
      |        `--+-- Abronia oaxacae
      |           `-- Mesaspis moreleti
      `--+-- Ophiasaurus koellikeri
         `--+--+-- Anguis fragilis
            |  `-- Pseudopus apodus
            `--+-- Dopasia harti
               `--+-- Ophisaurus ventralis
                  `-- “Ophisaurusventralis

After Macey et al., 1999 (vide Conrad & Norell, 2008)

<==o Anguidae
   |--+--+-- Celestus enneagrammus
   |  |  `-- Diploglossus bilobatus
   |  `--+--+-- Ophiodes striatus
   |     |  `-- Diploglossus pleei
   |     `--+-- Sauresia agasepsoides
   |        `-- Wetmorena haetiana
   `--+--+-- Elgaria
      |  `--+-- Barisia imbricata
      |     |-- Gerrhonotus liocephalus
      |     `--+-- Abronia oaxacae
      |        `-- Mesaspis moreleti
      `--+-- Ophiasaurus koellikeri
         `--+--+-- Anguis fragilis
            |  `-- Pseudopus apodus
            `--+-- Dopasia harti
               `--+-- Ophisaurus ventralis
                  `-- “Ophisaurusventralis

After Gauthier, 1982 (vide Conrad & Norell, 2008)

<==o Anguidae
   |-- Anniellinae
   |-- Anguinae
   `--+-- †Glyptosaurinae
      `--+-- Gerrhonotinae
         `-- Diploglossinae

After Sullivan , 1979 (vide Conrad & Norell, 2008)

<==o Anguidae
   |-- †Glyptosaurinae
   `--+-- Gerrhonotinae
      `--+-- Diploglossinae
         `-- Anguinae

Reference(s):