I have a flame angel, and a coral beauty doing great in my reef tank.
DO NOT get an eibli angel. I had one of these, killed 2 of my huge brains, and some blastos. 2 weeks and a homemade fish trap later, he went back to the LFS.
From what I have heard, even the pygmy angels are hit and miss, most will be ok, but you might get one that decides it likes a certain coral.