Karakter comes to mind, for sure, as Beerman said. Really nice food, lovely beach. I can't remember which nights it is now, but they have music also, a few nights a week, where you can make an evening of it, have lovely food and drinks and music. A whole different vibe, but still not bad at all, is Sunset Bar and Grill or Driftwood, by the airport, so not technically Simpson Bay I guess, but close. Beautiful view of the setting sun, a pretty full menu at Sunset, more limited menu at Driftwood, but neither has the quality of food that Karakter has. Driftwood you can really hear and see and smell the ocean, more than Sunset, but either is a good choice. Also Buccanneer is a choice, although I haven't been that happy with service there in recent times. Again, a sandwich and pizza type menu, not tapas, but generally good food.