One of the most random and hilariously bad games (if you can ever call this a game) I ever seen, Plumbers Don't Wear Ties. The game came out in the 90s, but it has a distinct 80s vibe to it to say the least.
http://www.gametrailers.com/video/angry-video-screwattack/52921
http://www.gametrailers.com/video/angry-video-screwattack/52921