Well, there are lots of little shops and museums in the French Quarter itself that are fun to peruse. Some Voodoo stuff, some really cool architecture, and be sure to have some beignets and coffee at the Cafe du Monde when you walk along the riverfront. The street artists, as well as the spectators, are often fun to watch.
Food is a big draw in NOLA. Ask the locals for the current recommendations. At night, you should walk down Bourbon Street just to get a flavor of the jazz and party spirit. While walking around, you will also be able to drop by Preservation Hall on St. Peter Street and listen to some of the old jazz masters. On the same street is Pat O’Brien’s so you could have a Hurricane while you’re at it, although they are too sweet for my tastes.
There are also some plantations that reveal some of the history of the area - the Destrehan Plantation is probably the closest. I’m not sure what condition they are in anymore. I used to enjoy lunches at the Elmwood Plantation. Of course I used to hang out at Fitzgerald’s Seafoods but that’s now history.
I loved the people of NOLA, but don’t trust the cops.