Let’s say Harvey just bought your screenplay. Perhaps, in a brilliant stroke of luck, you bet on Giacomo at the derby. Or maybe you woke to discover that, hey, you are really Steve Ballmer. What’s a lucky duck to do? Head to your own private island. Tahiti’s Vahine Island is accessible — but not too accessible. Of the nine private bungalows dotting the ten-acre island, the three overwater ones are the way to go. All come with Tahitian TV (a glass floor under the coffee table that provides a view of the fish and reefs). Be sure to have the canoe breakfast delivered. Closer to home, a cool quarter of a mil will get you and 20 friends a week at Musha Cay. After a short flight on Musha’s twin otter from Georgetown, Bahamas, caviar and champagne greet you at the dock, and everyone gets a golf cart to zip around in. The rowdiest nights can be found at The Landing. The perfect place to bring your six favorite couples? Cayo Espanto, off the coast of Belize. Minimal lodging (three one-bedrooms and two two-bedrooms) ensures privacy, while tons of activities — scuba diving, fly-fishing, snorkeling — make for diversion. Be sure to watch the birds that live on nearby Cayo Rosario. Land your G4 on the private airstrip at Cabo Velas, a 1,700-acre peninsula on the Pacific Coast of Costa Rica. Sixteen lucky guests have the run of five beaches, a working farm, and Jose’s brigade of horses. Be sure to go running (or strolling) on the main beach, which has black volcanic sand. Dhoni Mighili, off the Maldives, offers six dhonis — traditional, 65-foot, hand-built sailboats — each paired with its own beach bungalow. (Be sure to snag one with a private plunge pool.) Kayaking, sailing, and a spa are options, but don’t miss the scuba diving; it’s the best in the Pacific. It may be true that no man is an island. But having one to yourself never hurt.