Show ends 31st. No New Years show.
However if I did have a New Year's show. You will have to have Auld Lang Syne as one of your songs.
Some others to consider: 1999 - Prince, Start Me Up - Rolling Stones, Celebration - Cool and the Gang, Get the Party Started - Pink, It's the End of the World - REM, New Year's Day - U2, Let's Star the New Year Right - Bing Crosby, Happy New Year - Nat King Cole.
Just what I could think of off the top of my head.
Kurt