Squirrel Nut Zippers are cool, but you should look into the old guys who started it all. That's some great stuff. Benny Goodman is my favorite. You just have to move when you hear this one (it's not an original recording, but it's high quality):
YouTube - Benny Goodman & His Orchestra - Sing Sing Sing
Here's a 1942 recording:
YouTube - Benny Goodman - Roll 'Em (1942)
1937:
YouTube - Benny Goodman - Medley (1937)