Parrotfish
There are only a few parrotfish that I think I would be able to positively I.D., and those are ones with very unique shapes are markings. They are, however, very beautiful, so I have included some pictures of un-identified parrotfish at the end of this post.
Ember Parrotfish
Scarus rubroviolaceus
Only the females have this very distinct red and black color.
Longnose Parrotfish
Hipposcarus harid
Adults identifiable by their long noses.
And some other parrotfish
Bullethead, or Shabby, Parrotfish
Chlorurus sordidus