
Well I still haven't seen the white one, but I did find a rare lavender (ParrotSkinLavender) one!
It's not (currently?) classed a rare, but it's certainly not a common spawn. It was with the rest of the parrots in the end cavern and is called a Brilliant Macaw.
Screenshots of the wild parrot and the tame: I guess I should repair my gear at some point. Looks like those level 15 mobs are hard on the old mail
