This is a list in progress of games that make you think "Wow, they really made a game out of that!?"
There are many more, post any you know.
Dashin Desperadoes »
Genesis Two boys race to a girl. First one there gets some nookie.
Chicken Shift »
Coin Op Sort through chicken eggs.
Chicken Farm »
Coin Op Yeah, there are two different games where you sort chicken eggs.
Tapper »
Coin Op You serve beer.
Space Invaders '95 - Attack Of The Lunar Loonies »
Coin Op Proof that Japan has a bigger imagination than America.
Stone Ball (4 Players) »
Coin Op Caveman hit a ball with a club.
Moai-Kun »
Nintendo You're an Easter Island statue. I guess that isn't too strange but it is fun so I'll leave it on the list.
Speed Coin »
Coin Op Guide a quarter across a board.
Toilet Kids »
Turbo Grafx-16 You ride a toilet.
Hatris »
Turbo Grafx-16 You stack hats.
Bullfight »
Coin Op You stab bulls with a sword.
Ram It »
Atari 2600 Title pretty much says it. I bet you're curious now.
I am deliberately skipping games like Pac Man, Q-bert and Mario which would all be weird if they weren't so common. Once you get to a certain level of fame you can no longer be weird. And I am skipping adult games like Custard's Revenge and Beat Em And Eat Em.