In Grand Case I recommend le Bistronome, a newer place run by Chantal formally of Sunset Cafe, and someone else said Les Oliveriers, formally Pizza Pascal ; upscale French which we'll try on our next trip so can't report on the food 1st hand.

Marigot Marina, lunch or dinner at Be Kool. Excellent traditional French, run by a family, husband wife and two sons. We try to lunch there every trip upon arrival before check-in to BSV; however, this trip looks like we arrive too late for lunch.