I'd like just a 'slower' story. Which wouldn't be asking for much. Hopefully the second film will be more character-centric (I see no reason it wouldn't be) and thus, by its nature, maybe a little less hyper-kinetic than the last one.
If they can do a Star Trek film without a black hat villian, I would be for it. I'm doubtful that it's the right time and the right group of people to realize such an objective, so whether they do or don't won't make or break the movie for me. But if by some slight chance they did, I would hope they'd have finally proven themselves to the skeptics (who am I kidding).