I suppose most games take a normal concept and then roll with it in a different way.
Example, QWOP, it's a racing game, but they deconstructed (food term!) the running of the player and made you control that aspect in crazy detail.
Other games featuring deconstructed mechanics, walaber's game gymnast. Space channel 5. X-Moto. Most simulators. Most diner-dash type games.
An original game, copyright Jerico2day:
Garbage man
You play the role of Lawrence the garbage man. The goal of the game is to land as many trash bags in the back of your garbage truck in a set workshift.
You must control the garbage truck moving forward and backwards and you control the garbage man by using up, down and space bar to let go. You throw your arm using the up/down keys and let go to toss the bag, if you got the right speed and angle, it'll go in.
You also must maneuver the garbage truck and keep it from running into obstacles that may cross your path.
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Pwning newbs since 2002.