One of the coffee shops to hang out in around the UW is Zoka. It's got a pretty cool vibe, good coffee, good food, and free wireless. They recently expanded their space and added a second coffee bar and sitting area with a fireplace.
While it's often crowded with UW students, particularly at night, it doesn't have that same overfull and loud feeling of the U Village Starbucks. Instead the crowd is mellower and a little more friendly - need a seat at the big table but don't know anyone? No sweat just pull up a chair, say hi and you're in.