A Quality Casino Experience on the High SeasĮach of the Celebrity class vessels offers a casino with an excellent atmosphere, despite the fact that they often close soon after 2am. Each of its four new Celebrity class cruise ships – Constellation, Infinity, Millennium and the Summit – has a Fortune Casino onboard.ĭespite having a fleet half the size of some of its competitors, Celebrity Cruises visit a wide array of different locations, from Europe and the Caribbean to Asia and even Alaska. Toggle Navigation Celebrity Cruises CasinosĬelebrity Cruises may not have the biggest fleet in the world at 11 cruise liners, but the company does know how to lay on a casino cruise.