The best way to see "name" acts is to book a specialty cruise such as the "Blues Cruise" or a Jazz Cruise. The focus for the entire cruise is on the entertainment and they often get relatively big named artists for the genre (Such as Delbert McClinton & Marcia Ball on a Blues Cruise).
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April 1, 2006 - Serenade of the Seas - 7 days to the Southern Caribbean
October 8, 1984 - NCL Sunward II - 3 day cruise to the Bahamas