The list is small in size, probably.
While all puffers munch to a degree, it really comes down to their temperment. My two dwarf puffers (Valentini and Fiji) will nibble on a new coral but after realizing that it's not their favorite mysis shrimp or krill, they leave it alone.
I have a Torch Coral, a Lobo and a ton of Mushrooms and Ricordia that they leave entirely alone.
I wouldn't really risk a puffer in a reef, but as always, it's through trial-and-error that we find out how they will react to corals.