We had the best evening of our trip at Jellyroll's at the Disney Boardwalk. We got there early enough to get a table, and then stayed for 3-4 hours, singing along to the dueling pianos. It was ridiculously fun!
I also recommend the drink specials at the Adventurers Club at Pleasure Island. I had some kind of fruity concoction on New Year's Eve that was just delicious! And it had enough alcohol in it that I didn't need to order any more drinks for the rest of the night!