Kopidosaurus perplexus (Scarpetta 2020; Eocene, 2cm skull length) is ancestral to several extant iguanians including Pristidactylus and Basiliscus. It may be a juvenile or an example of phylogenetic miniaturization.

Basiliscus basiliscus (Laurenti 1768) is the extant basilisk. It is related to Iguana but has a tall parietal crest. This frilled lizard is able to run bipedally across ponds. Skull image from Digimorph.org and used with permission.

Pristidacatylus torquatus (Phillippi 1861, extant, snout-vent length = 6-11cm) is the extant forest lizard. It is related to Basiliscus and feeds on beetles. Image from Digimorph.org.

Laurenti JN 1768. Specimen Medicum, Exhibens Synopsin Reptilium Emendatum cum
Experimentis Circa Venena et Antidota Reptilium Austriacorum. Wien.

Philippi RA and Landeck L 1861. Neue Wirbelthiere von Chile. Archiv für Naturgeschichte 27 (1): 289-301.

Scarpetta SG 2020. Effects of phylogenetic uncertainty on fossil identification illustrated
by a new and enigmatic Eocene iguanian. Nature.com/scientifcreports 10:15734.
https://doi.org/10.1038/s41598-020-72509-2

wiki/Basiliscus
wiki/Pristidactylus
wiki/Kopidosaurus