It’s hard to believe, but there will come a day, while hot and hungry in New Orleans, when you crave neither a hefty muffuletta nor messy, sugar-dusted beignets. The overstuffed po’ boys, the bowls of jambalaya, the red beans and rice—they are among the plethora of reasons why the Big Easy is one of the country’s most delicious cities. But with all due respect to these fail-safe classics, sometimes you seek more adventurous eats. When maxed out on crawfish etouffee, you’ll be grateful these 10 forward-thinking restaurants—all far from touristy Bourbon Street—exist.