Making a poll about this is impossible. Easier to just let people state their case for their games.
As for me...
Console GOTY: Three-way fight between Skyward Sword, Deus Ex: Human Revolution, and Catherine.
Skyward Sword's charm and tweaked formula parries Deus Ex's bullets and stealth, while Deus Ex dodges Zelda's blows handily with its cyberpunk/renaissance noir aesthetic and unique blend of RPG and Shooter. Catherine, however, is seducing both with the best story and acting I've experienced all year, as well as challenging and thematically perfect gameplay style.
Handheld GOTY: Radiant Historia. Without a shadow of doubt, Radiant Historia.