This one is nothing more than a time sink. Set up the games against one other controller and choose "quick rounds." Unfortunately, quick rounds aren't that quick. You'll be playing a minimum of 9 minigames per game show. However, you can "nudge" the wheel using the "LB" or "RB" buttons in either controller. Try to make sure you pick a Bop-It or Jenga game every time. With some of those minigames, if your dummy controller goes first you can fail it out and you automatically win.
STAY AWAY FROM OPERATION minigames as they take forever. Some of the Connect 4 and Pictureka games are lengthy too.
Each game show will take 15-20 minutes x 12 game shows + loading times = about 4-5 hours you'll spend on this achievement.