The Gumbo Shop
the Gumbo Shop doesn't receive as much fanfare as some of the other great restaurants in the city - and there are more than a few - but the food is outstanding. There is often a wait (it's a smallish place) and sometimes noisy once you're inside, but the food is worth it. The service I've received has always been first-rate as well.
The Creole platter is a great choice for those looking to sample the local cuisine, but ironically, the filet mignon is the best steak I've ever had.
This tip has the address "Just off Jackson Square"