I've kept four types: domino, striped, blue and yellow tail blue damsels.
The dominos and striped were the WORST. They killed each other off. (This was back about 9 years ago when I set up my first tank ever. Of course, I started my tank with a handful of various damsels :(. A rookie mistake).
I've had a blue and yellow tail for 3+ years now. They started in my 55 and I kept them when I upgraded to my 240. I've had no problems whatsoever with the yellow tail. I think they tend to be more placid than other damsels. Although some people have horror stories about yellow tails too.
The blue one and I started off rough though. He killed any fish smaller than himself, and he even used to kill corals that were in his territory. He's mellowed out quite a bit over the years though, and doesn't cause any problems any more.
Whichever one you choose, you are going to be taking a risk.