Have not lived there for about three years now, but...
Lunch: Rolling in the Dough, Gumbo2Geaux, Ichiban, Stoner Landing (now closed), Caines, any Crawfish stand - but Shavers on Youree is pretty good.
Dinner: Copelands, Olive Street Bistro, Superior Bar and Grill, Kobe's.
Don't buy the Ernest's hype. I actually had to ad salt and pepper to my steak to stomach it. Expensive and crowded.