The Andrews Sisters. Classics. While I can't call them the original girl group, I can say that they do everything girl groups do now. They sing. They harmonize. They dance. They wear stylin' clothes. Here's their equivalent of a music video for Boogie Woogie Bugle Boy, performed in the 1941 movie Buck Privates.
Since the emphasis of the song of the song was indeed the song, the dancing was just fine. The shorty george's were particularly impressive. Also impressive was that the video was mostly one long shot. However, the best part for me was that Boogie Woogie Bugle Boy was an entirely swing danceable song. That makes it interactive and therefore a win.