A private-island resort six minutes by boat off the coast of Antigua, Jumby Bay is one of the Caribbean’s top luxury, all-inclusive stays, and one of its most environmentally aware. A $28 million renovation in 2010, which included the addition of 28 suites and a first-ever spa, gave it all the digital-age essentials: 42-inch flat-screen TVs, iPod docking stations, Bose sound systems, free Wi-Fi. Yet its underlying spirit of environmental responsibility, highlighted by its hawksbill sea turtle preservation program and its banishment of wheeled vehicles except for golf carts and bicycles (every room comes with two bikes), continues to reign. Rosewood manages the resort, but it belongs to an association of island homeowners, some offering their properties for rent. So if, say, a 1,346-square-foot beach-view pool suite isn’t big enough, it is possible to do as celebs such as Hillary Swank, Jim Carey, and Paul McCartney have done and plop down up to $20,000 per night for a private villa or estate home. Couples can be perfectly content here, but it is especially attractive to families, who appreciate programs like the Rose Buds kids' club.