Many of these lizards have a limited ability to change color, giving them another nickname, the Fake Chameleon. The most common agamas kept as pets include the Oriental Garden Lizard, tree dragon, common garden lizard and brown garden lizard. Ad. The Oriental Garden Lizard is a widespread species of Asian lizard.t first, I thought these were two different types of lizard. After a gray one lost its tail in my carport, though, I saw the same tail-less lizard in my garden, sporting brown skin.