It's easily my favorite German compound word. It means "face badly in need of a fist."
So, who do you think has a big ol' case of Backpfeifengesicht?
Have some celebrities:
and in the political arena:
Seriously, Jared Leto is a complete pricknugget. I and several of my friends have had to deal with him working a 30 Seconds to Mars show. He was a complete primadonna shitbag.