Well Smithers has put it one way, I will put it another. I personally call
Phyllurus platurus the Southern Leaf-tailed Gecko, and do not call anything a Broad-tailed Gecko.
My reason for this, Broad-tailed Gecko is a relatively recent common name made up by Wilson and Swan, back in the Cogger days they were Southern Leaf-tailed Geckos, and I really don't want to change especially when I think Broad-tails sound so crap.
My personal names
Scientific- Common
Phyllurus platurus - Southern Leaf-tailed Gecko
Saltuarius swaini- Swain's Leaf-tailed Gecko
Saltuarius moritzi- Moritz Leaf-tailed Gecko
Saltuarius kataea- Kate's Gecko
Saltuarius cornutus- Northern Leaf-tailed Gecko
Saltuarius wyberba- Granite Belt Leaf-tailed Gecko
Saltuarius salebrosus- Still working on a name. :/
The more people can refer to things by their scientific names the less problems we have.
(Out of curiosity Smithers where did you get the swaini and wyberba as being Southern Leaf-tails, it is not the name in Wilson, Swan, in fact I don't think I have heard it substituted for them before just that platurus was being called a Broadtail as well as a Southern. Besides wyberba already has a well solidified common name, and swaini has now been split into two species, and calling both Southern Leaf-tails would be more confusing than even the Broadtail addition. Don't mean to be 'attacking' I am just being curious and stating my reasoning at the same time which I realise could come out wrong.)
Two of S.moritzi from the wild (Don't have any swaini but the difference is tubercles on the tail so you are not missing much picture wise)
http://www.flickr.com/photos/stephenmahony/5341264171/
http://www.flickr.com/photos/stephenmahony/5397844110/
And one of platurus
http://www.flickr.com/photos/stephenmahony/5078074588/