Value and Exotic Destinations Offered by Costa Cruises. The European arm of Carnival Cruise Lines is Costa Cruise, and sails to exotic ports, such as Bombay & Dubai. You can explore colorful Thailand & breathtaking Norway. You’ll have your choice of excursions once you arrive at a port of call. Costa offers over 2,000 on-shore adventures. Visit coral reefs and nature reserves. You have choice to take custom excursions. Each Costa cruise ship sports a different theme. For example, the Costa Deliziosa is all about fantasic food. Cruisers aboard the Costa Favolosa enjoy the two-deck water Aqua Parks, which even boasts a pirate ship & castle.