The listing I have detailing the eateries in New Orleans is far from complete. Our experience there 2 years ago shows that many like to deviate and go for the local delicacies. And that's fine. We have one full day (Wednesday) together to ride the 4 streetcar lines. Lunch will be at the Riverfront Marketplace, since it's most likely the largest venue with a large selection of things to eat at its food court. Wednesday dinner has not been decided yet.
On Thursday, we may just do a sightsee-on-your-own day, where you can enjoy seeing the sites perhaps off the streetcar lines. Keeping in mind that we do have a scheduled Amtrak departure in the mid-afternoon, you might be able to get a cajun lunch someplace (while I'm eating Whoppers or Chicken McNuggets!).
Bottom line is that this is a large, major city with plenty of places to eat and be entertained along the streets. You may find your favorite fast food place just walking along Canal Street or one of the side streets in the CBD or French Quarter.
Do some online investigations of your own before the trip, so you are prepared to be able to find a place to your liking.