Non-Traditional First Dance Song

I have been agonizing over the first dance song for a while now. We`ve gone over the list of all the traditional songs and nothing jumps out at me. So I wanted to have our song be Just Like Jesse James by Cher. It has special meaning because that was the first song the my FH and myself ever danced to. It`s obviously not a song you would guess to be a first dance song but I was wondering if anyone else went with a totally non tradional first song