White-sand beaches and crystal-clear oceans with gently lapping waves, bright green jungles, the scent of jasmine and sandalwood filling the air—these are the beach getaways that transport us to other worlds and leave us wishing that we, too, could live on “island time.” From an exquisite atoll in French Polynesia to a private island hideaway in the Seychelles, the following destinations are some of the world's most remote and exclusive, where you can have miles of coral reef coastline to yourse...