1. Juan's Flying Burrito. Right now this is my favorite place to eat in New Orleans. I frequent the location on Magazine Street, which has an unique personality and look to it. I usually get "The Flying Burrito" which has beef, chicken, and shrimp packed in with traditional burrito goodness. When I was vegetarian for a couple months last year, I got the Super Green (with dairy, because I didn't give up all good things in life) and it was also tasty.
2. Babylon Cafe on Maple Street. This is my favorite Mediterranean restaurant in the city. I used to get food from this place all the time when I worked at a coffee shop nearby. Every Tulane and Loyola student knows this place for good, cheap food. My favorite is the gyro on homemade bread. Their hummus also makes me smile. It's all good.
3. New Orleans Hamburger & Seafood. I feel like kind of a loser for putting this one on the list because it's a chain restaurant. But the Shrimp Creole is sooooo good. I think they have other food too, but I wouldn't know because the shrimp creole wins the ordering debate every time. Oh, and they have free ice cream for dessert. It doesn't get much better than that!
I'm not a New Orleans native so I don't feel overly guilty about not putting some hole-in-the-wall poboy place on my top three list. Maybe someday.
If you're ever in the city, check these places out. They're worth the trip away from the overpriced touristy stuff. Toodles!