You will find that with softies, temps can get up to 80-82 and they will thrive, good example, it seems that with hotter temps mushrooms get larger. I've witness this personally!
with LPS I would say 80 max, but like Flipside noted, consistency matters. Steady temps is better than swings.
SPS, it's not just temps, you have to keep the chemistry correct as well (correct is a loose term) we know SPS thrive under diff parameters from tank to tank.
NPS (not all) require lower temps and so do some fish
all in all, I've always stuck to the 78-79 temp range as that's what I was thought. seems to work really well. I think 78 is a median between cold and warm, could be wrong.