All of the Tangs are going to be mostly reef safe. Rabbit/Foxfaces will eat soft corals, and Magnificent Foxface will eat SPS.
Most of the Pygmy Angels will be ok, nipping on Clams and possible Zoas. This goes for the Regal Angel too. The larger Angels, like Queens, Frenches, Emperor, will pick on clams and zoas. The Angels in the Genicanthus family, like Lamarks, Spotted Breasts, and watanabei are fairly reef safe, as they usually eat food out of the water column.
Triggers in the Xanthichthys family, Like Blue throat, Red Tail, and Cross Hatch are fairly reef safe, though they will eat inverts and do get somewhat large.
You'll find that most Damsels and Clowns are reef safe, though some will pick up and throw sand on top of corals from time to time or move them around.
Lion Fish are actually reef safe but will eat any fish or thing that they can fit into their mouths. Same with Groupers and Snappers.
Hawk fish and Fire fish/worm fish are reef safe, though some of the larger Hawk fish will eat Inverts.
Most Wrasses/Hogfish and Dottyback/Basslet are reef safe though some will eat inverts.
Eels are reef safe but most will eat inverts and clams and others fish. Small Ribbon Eels are reef safe as are Dwarf Morays.
Cardinal fish are also reef safe.