IGN.com have taken a look at the evolution of the Mario Kart games. In this Video Generation Gap for Mario Kart, the look at the first Mario Kart game for SNES (aka. Super Nintendo) that came out in 1992 to the most recent game, Mario Kart Wii.
Mario Kart have been playable on SNES, N64 (Nintendo 64), GameCube, GBA (GameBoy Advance), DS and now on Wii. There have also been an arcade version in the form of Mario Kart Arcade GP (check Wikipedia.org).