Amazing Jazz. The Black Dolphin next door is nicer and less "seedy" you might say, but the jazz is mellower. Depends on what you like. I like the loud, crazy riff jazz in the Green Lady. You can't really get that anywhere else, and I love it.
The Phoenix is good for more dinner and more blues. The Blue Room is also classic for dinner and is family-appropriate (meaning, it's not a bar).