Harlem rap sensation Azealia Banks (who tweeted a novel spin on the usual holiday greeting to fans on Tuesday: “Merry Christmas to me”) will perform at the Top of the Standard on New Year’s Eve. The black-tie affair comes in advance of Banks’ much-awaited debut album, “Broke With Expensive Taste.” Matthew Dear will DJ at adjoining Le Bain. Among other starry celebrations, “DWTS” hoofer Karina Smirnoff will host a “Studio 54” NYE bash at the Catalina Hotel & Beach Club in Miami, and Afrojack performs at Pier 94.