I found this easiest to do in Orginal Connect 4 X 4. Set up a game with 4 controllers so that there are no AI players to screw you over. Have the other 3 controllers purposely screw up and not connect 4 and this will go fast. Before you start the game make sure to go into settings and change the Rounds to "First to Win 1." This will make each game last only a couple of minutes! All in all this achievement will only take about a half an hour!