I agree; French Quarter is nice, and there are some beautiful gardens and houses to tour; (so-called ‘shotgun’ houses as well as “haunted” tours) as well as various walking tours. There are wildlife preserves around (if you’re a birdwatcher this is an excellent place for it, just outside the city) I think it’s called Honey Island swamp?, and depending if you’re interested in history, there are of course small museums dedicated to everything from Marie LeVeau (Voodooienne of fame) to the Jazz greats.
Have a great time!