Team Logo. The Havana Sugar Kings were a team in the International League. They were the AAA affiliate of the Cincinnati Reds. They moved to New Jersey in 1960 before folding in 1961. Retrieved from "https://prosportsteams.fandom.com/wiki/Havana_Sugar_Kings?oldid=14809" Categories: Former IL Teams Teams in Cuba Community content is available under CC-BY-SA unless otherwise noted.