Oh and Razoos for afternoon cocktails on the patio, just don't let Ogre buy you a shot tray unless you're a gamer.
Pretty sure Razzoo is gone.
Some quality suggestions in this thread so far.
I'll add:
1) Cafe Maspero (corner of Toulouse and Decatur) for reasonably priced good grub. $2 Abita Golden as well.
2) Chart Room (Corner of Chartres and...uh...some other street)...dive bar with some colorful local characters.
3) Port of Call (way on the other side of the Quarter) for great burgers. Surprising side dish with the burgers.
4) po boy from Johnny's
5) See a band at Tipitina's
6) Take the street car to the other end of St. Charles (out by the levee) and hit Cooter Brown's for some serious local flavor
7) Get beignets and cafe au lait at Cafe Du Monde...or if the line is too long (and it usually is) go to any of the 100 Cafe Beignets around town.