As a student, I like to think I've got a decent handle on the cheap part - as for good, well, that's awfully relative. I'd recommend Dunbar's on Freret, though. Fried chicken, red beans and rice, big poboys, fried seafood. The cornbread is a little sweet for my taste, but good. Their lemonade's great. I usually get that and a shrimp poboy. I haven't tried their bread pudding yet, but I hear it's also good. For "regional", very cheap, and tasty, that's where I go. The neighborhood is... not the nicest. But it's not horrible. It's very close to the university area. The address is 4927 Freret Street, and they're NOT open on Sundays, at all. It might be a bit tricky to get to from the quarter, though, unless you don't mind walking ~10 blocks from Saint Charles (the streetcar line.) I'd get off the streetcar at Jefferson Avenue, then walk ~7 blocks up to Freret, then hang a right and go ~3 blocks down Freret to Dunbar's. That walk isn't too sketchy, I believe.