Skull Island? [Orchid Chameleon]
Cool Ranch [Armadillo Verde, Golden Stingtail, Tropical Skysnake]
Duck of Death
Mooshu [Ebon Spectre]
Also, the White-Tailed Jackalope is awarded for completing the Frontier Drifter Badge in Cool Ranch, which you earn by visiting 21 important areas.? If you do all the main story quest, you'll probably be close to getting this one.
I think there is a similar quest in Mooshu for a Celestial Dragon Pet, but I couldn't find the particulars.