Since it's New Years Eve, I suggest the following...
"Animals" by Nickelback
"Crazy Bitch" by Buckcherry (Or even "Lit Up.")
"Sweet Emotion" by Aerosmith
"Man in the Box" by Alice in Chains
"Interstate Love Song" or "Plush" by STP
"Wanted; Dead or Alive" by Bon Jovi
"I Want You To Want Me" by Cheap Trick
"Here's To The Night" by Eve 6
"Learn to Fly" or "Darling Nikki" by the Foo Fighters
"Heart Shaped Box" or "Lithium" by Nirvana
"I Wish You Were Here" by Incubus
"Creatures for A While" or "Down" by 311
"Break Stuff" or "Eat You Alive" by Limp Bizkit
...
I know not all of these are dancing songs neccessarily, but as a cover band, most of these are mandatory, and I have never heard a complaint when busting out "Whiskey in the Jar" as covered by you covered from Metallica of Thin Lizzy.