The Broad-tailed Gecko or Southern Leaf-tailed Gecko[1] (Phyllurus platurus) is a common gecko found in the Sydney Basin. The large tail is used as a decoy, to prevent predation. The tail is also useful for fat storage. This gecko is great for pets and, is an agile nocturnal hunter, useful as a killer of insect pests (Wiki).
My husband must have disturbed this nocturnal rare (at least) lizard in our garden when he was working on a fence near our retaining wall. It blends perfectly with the sandstone wall.