Thoughtful, intellectual, funny, and just a little cynical. Someone who is Atheist but Humanist, whose politics and beliefs are in sync enough with mine to allow mutual respect and understanding, even if we don't agree on everything. Someone who is physical, who likes to get out but is also happy to stay in and play Scrabble, watch TV, or read together in bed. A man who takes care of himself and delights, just a little, in fashion. Someone who loves me, but who will give me plenty of space. Ideally a man who needs a lot of alone time, because I need a lot of alone time.
I would love a man who can sing and maybe play the piano; who'd write little melodies and sing them to me. And he'd have a delicious accent. But that's me getting all girly and giddy.
As for appearance, I will not say it is unimportant, because that's ridiculous. However, I find that an attractive personality will greatly change my perception of a man physically, so that men whom I might not initially be attracted to become very physically attractive to me. As general rules I tend to be attracted to tall, thin to fit men who are quirky in appearance in some way.