Mary J. Blige treated guests at Turks and Caicos’ Amanyara resort to a private New Year’s Eve performance. We’re told the diva — decked out in a white sequin blazer and white linen Catherine Malandrino pants — performed a set of songs during an intimate evening that included a midnight toast and a fireworks display. Pop legend Prince watched the show, but disappointed fans by not taking the stage. The “Purple Rain” singer’s a regular at the exclusive spot, and played an impromptu New Year’s show there on Dec. 31, 2010.