There is a locally owned shop down the hill from my house, and around the corner is Caribou Coffee, which is a chain, but I'm not sure how far they reach out. Both are great options and before I come to a Starbucks! That is one of the reasons I love living in a big city.
For me, it would have to be either Tim Hortons from Canada, because it's good and cheap and a cultural staple, or in my current city any of about 30 different independent coffee shops. I'm spoiled here.