One of the few generalities I can draw from this hobby is that all fish are "semi" reef-safe. Basically up to what you can tolerate in your tank. My leopard wrasse has a habit of knocking some small frags over, but it's a shallow enough tank, I can easily right them. Each fish has it's own temperament. My maroon clown has been a joy!

(But I do work for my lfs, so I get to observe individuals pretty well...)
Some fish that often observe desirable etiquette.
Nearly any dragonet
Shrimp gobies, especially if you have a pistol shrimp!
Clown gobies
Small dartfish
Small wrasses; nearly all fairy wrasses, 6 lines, x-mas tree, and many types of leopard wrasses, as long as well fed will leave well enough alone...
Docile clowns, Percula are quite popular with the parent of young children demographic. Thanks, Pixar!
Kole and hippo tangs make excellent grazers, but I wouldn't suggest them in any tank less than six feet long, with strong current. Less is like keeping a big terrier locked up in a studio apartment.
Lamarck's angel is the only angel I've heard of considered "reef-safe".
Most basslets