http://abita.com/ <---north shore, they have a brew pub plus the brewery does tours (and free beer!)
http://www.draftfreak.com/ <--- three locations in the area, used to do keep the pint glass on Wednesday (mid town location is great)
Gordon Biersch downtown, better places for food in the area but if you are in the area and looking for a beer...
If you are in the city and looking for a nice, quiet, local bar I would recommend
The Avenue Pub...spent some time there back in the day (a couple years ago)