PC Game of the Year 2001
The winner (1351 votes): Max Payne. Ah how we all laughed at the seemingly slow development process, when it was finally released it was well worth it. With its bullet time gameplay, and its gritty urban setting, Remedy showed us that third person shooters on the PC could actually compete with first person shooters.

Runner up (964 votes): Return to Castle Wolfenstein.

Console Game of the Year 2001
The winner (1212 votes): Halo. Though a lot of people gave up on this title when Microsoft bought Bungie to make this an Xbox game, it took most people by surprise when it was finally released in November. Words like "best FPS game evar" were uttered, and even playing with a gamepad was no longer a problem.

Runner up (1131 votes): Grand Theft Auto 3.

Personal Picks
Steve:
PC Game - Return to Castle Wolfenstein. Though single player was good, but not great, the multiplayer side of things really make up for that and make you come back to play this game.
Console Game - Grand Theft Auto 3.
Maarten:
PC Game - Undying. Though the game bombed in the eyes of its publisher EA, that's hardly a reflection of the quality of this game. Though the gameplay isn't super inventive and the game drags at certain points, the presentation of the game and the mood it creates especially during the first few levels stand out from a lot of other FPS games and make this a very, very enjoyable game. And it's damn cheap now too as Amazon and EB Games have it for a mere $14.99.
Console Game - Grand Theft Auto 3. Really, what more can be said about this title? It's just one of the year's finest, compared to all games that came out this year, not just the ones on the Playstation 2.