Randalls will get along best, the pink square will 'swim through' a group of anthias, but beyond that won't bother them. Squamipinnis will be social with them, but over time may pick on the ignitus.
Pretty much it.. I have ignitus and they are peaceful and mix with pretty much anything but my male Lyretail will go after them sometimes even though he shoals with them all the time. My female lyretail sits by herself most of the time.. My male lyretail is little and I worry a little bit when he gets bigger. My male ignitus is way bigger than him for now and keeps him in place for now.