Tuba Skinny has been a fave of mine for a couple of years now. They are incredibly versatile and just a real joy to listen to!! Cannot commend them highly enough!! Another very enjoyable NO street aggregation is Smokin Time Jazz. Here is a great one of theirs.
There is always BBQ here. It is all pretty good, and some of it is downright great. When I moved here from Pittsburgh, there were a lot of foods that I missed. But then I found BBQ.BAMA: mighty fine alright; but when I saw the title of your thread, must admit I was hopin' for BBQ. ('course, I'm always hopin' for Q )
Here is another favorite group of mine that a lot of you may not have heard of; The Goodbye Girls.