Hi,
I've seen them host everything: elegance corals (they're still hardy in this part of the world), any euphyllia, sacrophytons, xenias, GSP, shrooms, zoos, night time bubble, a sea apple; really everything. Even non living things like peoples magnets and pumps.
If i were you i'd try a euphyllia, sacrophyton or xenia first. Most success with them. Btw, i beg to differ about your comment about anemones. I've kept an electric blue carpet anemone going for more than 3 years as well as a magnificent for half that time.
Although i wouldnt recommend a magnificent to anyone, carpets have many pros; just as long as you keep the lights and water quality okay (NO3 below 20, no kidding). Carpets stay in the sand only (no more displaced corals) dont move around much, eat like pigs (although occasionally there are reports of them eating EVERYTHING including yellow tangs).
Still, despite this, they are reasonably high maintainence creatures. I think if you've had a couple years (sucessful) exp, go for a carpet; bearing in mind that the coloured (green, yellow, white, red, pink, purple, blue) ones are much harder to care for than the normal browns.
Hope this helps. Pls dont flame me too much for advocating anemones.
PS. Just realised this was in the beginners forum so, um, better not try the carpets. But keep them in mind for next tank. Definately most beautiful animals in the sea.