Taekwondo. After watching a few matches, the judging seems as messed up as boxing. A match between a Canadian girl and a Swedish chick completely baffled me. The Swedish chick landed on clean kick, but her other point was off a pretty flimsy kick. The Canadian was constantly attacking and landed several flimsy kicks of her own. If they're only awarding hard, clean hits, then maybe the Swedish girl wins, but at least one of her points was questionable. A protest was launched but unsurprisingly rejected.
Perhaps pressure-sensing technology + judges is the way to go.