There are so many options around the island but this is what we enjoyed on our recent trip

Orient Village:
Cote Plage- dinner
La Voile Blanche-dinner
Yellow Sub- for drinks and pizza, casual food

Orient Beach:
Kakao- Lunch
Chez Leandra- Lunch
There are so many options all along Orient Beach for food and drinks during the day and I can't say these are the best but just what we tried

Le Galion:
Tropical Wave-drinks (good rum punch), snacks on the beach

Grand Case:
Spiga- dinner
Captain Frenchy's - lunch on the beach
Calmos Cafe- also located on the beach with casual meals, small plates, good drinks, great sunset view.
The Lolo's are worth a try for BBQ