Re: parrot fish and puffer fish
I have no idea how you'd catch either of them. I did catch a blowfish once as a kid fishing with bait (probably cut mullet). But they quickly puff up and just float around on the top. Not much fun to catch.
I have ocassionally caught cow fish (AKA box fish, trunk fish) and for something that makes a VW Bug look aerodynamic, a big one of those suckers is unbelievable. Their tails are so tiny you'd never of guessed it. They will actually take you into your backing. They will readily take any small bonefish fly and are all over the place, though the real big ones are more scarce of course.