The kind where I can delegate. Seriously, I've run hearts and helped at games a couple of times and I don't think I'd want to do one on my own unless it was an Aather-style take home game where I could just tell people to turn in their threads/MSpaint drawings at the end.

I kind of like ones that I want to play, so ones that have some psychological element to them. But doing that well can be hard; it works best when the players are helping.