Café du Monde has a single edible menu item: beignets. These crispy, puffy French donuts that arrive under a mountain of powdered sugar. Best Breakfasts in New Orleans' French Quarter: Cafe du Monde has been a French Market staple since the Civil War era.
Very Fine Dining New Orleans' 'Try Before You Die' Restaurants, Mapped - this is a good guide for visitors. Some of my faves are missing (like Brigtsen's and Tracey's), but all in all, this hits the high notes.