Great Stirrup Cay. There are a number of smaller islands in the Caribbean and Bahamas that are now either owned or leased by cruise lines. One of these is Great Stirrup Cay. Relax on the beach, nap in a hammock, get a massage, or choose from one of many shore excursions. These include snorkeling, stingray adventures, Eco-tours, kayaking, personal watercraft trips, and parasailing. Visitors can also play beach volleyball and Ping-Pong, check out the Aqua Park, rent water floats, and take a ride down the Hippo Slide.