I've done this several times over the years. Desert Falcon on the Atari 2600 and 7800, Basketbrawl on the Atari 7800 and Lynx, Shadow of the Beast games for the Amiga, Genesis, Sega CD, and Atari Lynx, Todd's Adventures In Slime World for the Lynx and Genesis, Commando for the NES, Atari 7800, Intellivision, and Atari 2600, and far more recently Roadkill for the Xbox, GameCube, and PS2.
The game has to be something I really liked in its original release, enough to see how it compares on different platforms.