Though it is part of the Walt Disney World Resort venture, Disney Cruise Line is an altogether separate branch of Walt Disney Parks and Resorts. Disney Cruise Line was formed in 1995; its two ships, the Disney Magic and Disney Wonder, began operation in 1998 and 1999, respectively, and were designed in collaboration with Walt Disney. Imagineering. Both ships offer three-, four- and seven-night Caribbean cruises, each with a stop at Disney's private island in the Bahamas, Castaway Cay.