UPDATED 28 December 2022 (Added info on MSC's potential 4th cruise terminal, deleted Southwest Airlines as a recommended option) Construction of Royal Caribbean's new Cruise Terminal is complete! The first ship call at Terminal 10 was Allure of the Seas on 9 Nov 2022 with a Media and Travel Partner Cruise. Galveston is the fourth busiest cruise port in the USA and the 10th busiest in the world. Cruise ships calling Galveston their home port include: Allure of the Seas - 225,