I just bought myself a Multicolor Angelfish (Centropyge multicolor) going to take the risk with it in my reef, they are just too beautiful not to try. Picking it up in a few days after its done with QT.
I have a Flame Angel that's never bothered anything. I really think the key is to have mature live rocks and plenty of bugs to keep them occupied and feed them well. I have clams, SPS, Euphyllia, Gorgonians, zoas, so on, etc. Angles are very active fish.
I had very good luck with a juvenile emporer in my SPS/LPS tank. When he out grew my tank, he went to my brother's tank and has left SPS/LPS alone. He did chomp on some of his zoas though. He now has his mature colors.
If you lived near me I would recommend trying to grab the flame angel out of the frag tank at my LFS, Ive watched him a bit and he hasnt picked at anything. But what I heard it would still be hit or miss I have no experience with them so IDK but I personally am not willing to risk it unless I have enough coral/large enough tank where if it did pick it would be spread amongst many colonies.. I was debating picking him up but my clowns are doing a good job at killing coral by deciding they want to live in it lol. But, I would think the most reef safe based on what I have seen with peoples experiences is Flame angel but I have no experience of my own ;) I think it really just boils down to what you are willing to risk, or possibly trade off not so well corals for a fish or everything going well.
Other than Genicanthus there's no such thing as a reef safe angel. Some examples of certain species may be safe, but IME they all pick eventually. You'll notice that a lot of people with Centropyge angels that don't pick haven't had them very long. I've been in the hobby for nearly 30 years and every Centropyge Angel I've ever owned eventually nipped corals. In some cases it took years before they did so, but if I had them for more than a couple years they eventually picked.
I had a Coral Beauty that was great for 1 year, then....BAM...Was a polyp eating machine and bossy. He was one of my first fish, so that may have had something to do with the bossiness. Gave him away to a fellow reefer and he has been a model citizen so far...maybe because he was the last fish added? I now have a pair of Swallow Tail Angels (Genicanthus) and they are perfect for the reef.
Had a potters angel for a couple years. He didn't pick anything. Had him from when he was tiny. Just disappeared one day. Bummers. Just picked up a small bandit angel. He's about 2" still. Hopefully he will be a model citizen. So far so good.