DH takes care of the washing, but I have to fold, because if I don't, he'll just shove everything into the drawers. He didn't even own an iron before we met, and justified this by saying that he "looks better rumpled." Yeah, right.
I think sheets are the worst, just because they're so unwieldy. I do the thing with nesting the corners of fitted sheets, which makes for a fairly neat package, but they're still my least favorite, and I've been known to just roll them in a ball when I'm really lazy. (It's not like anyone else ever sees them, and they smooth out soon enough.)
Anyone ever bought new underwear just to avoid doing laundry? I've come close to doing it in my single days, but I have a hard time wearing stuff (especially things that will directly touch my skin) without laundering first.