I have heard that gambling is not allowed in Alaska and most cruise ships stay on Alaskan waters most of the time. Does that mean the casinos. Find the top cruise ships sailing to Alaska with information on the ship's casino gambling with casino size, number of slots machines and table game descriptions. We are the largest and most popular casino operator onboard cruise ships. From Rome to Tokyo and from Miami to Alaska, Global Casino Operations allows. Anyone going on the Miracle aug. I am planning a cruise with my husband, his and my parents they are in their sixties and my two pre teen boys and would love the big ship experience without the temptation of gambling on board. Trust me, that's plenty of time to gamble. Looking forward to your review, thanks for taking the time to do it. Theory as they pair up the majestic north on board relax. One Day Casino Cruise.