I know that the mushroom corals are ok with triggers, the hermits are just fine, and the only thing that got to the snails were the crabs taking their shell, and button polyps are okay also. I don't know what the lion and eel will do to those though, as I haven't had either.
No starfish, cucmbers, anything that can't get in a shell and hide is done with the triggers.
I know the blue jaw/throat was kept in a reef tank at our lfs with no trouble.