IME, chrysiptera damsels mix well with some of the common dottybacks (I've kept them with orchids and springers) and with 6 line wrasses (would imagine other Pseudocheilinus would be fine too) and pygmy angels. Also think some of the tougher clowns like maroons or tomatoes. My opinion is there are a lot of fish that can mix well with these guys. Another thing most people don't consider, most damsels pair pretty easily if you're careful (as does everything else I mention except the wrasses). To me, this adds another dimension to keeping them - you actually get to see a lot more of their natural behavior. If you get 3 of a species, they will probably pair and you'll probably end up with an outsider that will need to be removed unless you have a big tank. I have not tried keeping multiple species in one tank. I almost did, but thought about how difficult it would be to take everything apart to catch them if it didn't work out.
A couple years back when vacation travel was still a thing, I saw a big display tank in Tokyo that was mostly blue damsels and a couple of yellow tangs in a bunch of rockwork. Really basic, but looked really nice.