Chamaeleonidae is the chameleon family.

The chameleons are a group of laterally compressed lizards with prehensile tails. There are over 150 species worldwide, and they are part of the family Chamaeleonidae, but there is no one specific scientific name beyond that. The Chamaeleonidae are arranged into two subfamilies, Chamaeleoninae and Brookesiina (dwarfs). These two groups are further subdivided into about 9 more subgroups, and then further divided into the afformentioned 150+ species.

Chameleons....

Kingdom: Animalia

Phylum: Chordata

Class: Reptilia

Order: Squamata

Suborder: Iguania

Clade: Acrodonta

Family: Chamaeleonidae.

Chamaeleo calyptratus. - this is entirely incorrect due to the fact that this is just a binomial name for a species known as the veiled chameleon or yemen chameleon. chamaeleo is just the name of the genus and not the family. technically speaking, i think this answers your question that the the family that all these lizards belong to is chameleonidae

Charles Klaver has written:

'Phylogeny and classification of the Chamaeleonidae (Sauria) with special reference to hemipenis morphology' -- subject(s): Chamaeleo, Chameleons, Phylogeny, Classification, Generative organs, Hemipenis