Lately have had a few CBD lunches at Peche. It's been reliably great food, quick service, and a reasonable price. It's in the old American Coffee building.
Their specialty is oysters from certain areas in Louisiana. The areas that are on the saltier side of the brackish scale actually taste briney. It's also one of the few places I know to buy the experimental off bottom oysters the LSU Ag Center is trying.
The shrimp roll is good as are the Brussels sprouts (it's a Link restaurant).