Supposedly the quickest game ever actually played to a decisive result in international play was a Center Counter in the 1800s and went:
1) e4 d5
2) exd Qxd5
3) Bc1c3
The player accidentally picked up the B instead of the N. Under the rules of that day, an illegal move had to be retracted and replaced with a king move. The game thus continued
3) Ke2 Qe4#
1) e4 d5
2) exd Qxd5
3) Bc1c3
The player accidentally picked up the B instead of the N. Under the rules of that day, an illegal move had to be retracted and replaced with a king move. The game thus continued
3) Ke2 Qe4#