Please, please, eat someplace great while you are here. Now, here's the scoop. Somehow, some low-quality, not very good restaurants manage to exist, especially in the French Quarter. Do your reseach, get recommendations from locals, get a Zagats guide, whatever you need to do to make sure you eat at the quality places. Which are not necessarily the pricey places.
The following will help you find the food to suit your tastes.
The New Orleans Menu, website of New Orleans food expert Tom Fitzmorris
this includes a list of which restaurants are open Post-Katrina. (We now have MORE restaurants Post-K than Pre-K!) The listing also shows Fitzmorris's ratings, so you can get some good recommendations here.
http://www.neworleansrestaurants.com/
Also, check out Empire's Picks for our favorite restaurants.