During the day check out the French Quarter, just in general you might find something you like.
Night time, check out Bourbon Street, though again this is mainly if you're looking for alcohol, and the occasional random flashing college girl, and don't have anything to do the next day.
For food, I'd try go to Copeland's Cheesecake Bistro, or just Copeland's(Servings sizes are gigantic), there's 2 of them, can't go wrong with either. House of Blues(Food + Music). Ralph & Kacoo's(Louisiana Seafood).
You should try Cafe Beignet just for the Beignets, which are downright awesome.
Also 3 places for food, Andrea's, Antoine's, Broussard's. All easy to remember cause they're just names, hehe.
But mainly just look around the French Quarter during the day, you're bound to find something you're interested in that you can check out at night.