I keep both coral beauty and flame angel they can co exist but it also depends on what size tank you put them in . I keep mine in a 90g tank with lots of hiding places, I wouldn't attempt this with a smaller tank ,
I have a engineer goby ,6 blue reef chromis , several damsels ,six line wrasse along with a lunar wrasse , lawn mower blenny and a mandarin ,
serpent star fish , red leg hermits , blue leg hermits , electric blue hermits , and Scarlett hermits , fire shrimp , Scarlett cleaner shrimp ,
coral banded shrimp , purple lobster
coral beauty s and flame angels are pretty mellow fish they are very active they are always moving