The media mogul who created Fox Broadcasting Network—and wife, designer Diane Von Furstenberg—have a variety of getaway options, including an apartment in Paris, estates in Beverly Hills and a five-bedroom beach house on Harbour Island, Bahamas. The three-mile isle off the north coast of Eleuthera is one of the oldest settlements in the Bahamas, with pink sand beaches and colonial-style architecture. During this past holiday season, the laid-back locale was teeming with celebrities, including Drew Barrymore, Richard Gere, Cameron Diaz and Uma Thurman, who came with her boyfriend, Arpad Busson, who owns a home here. Unlike more ritzy Caribbean spots, flip-flops are the shoe of choice; and golf carts, the vehicles of choice.