Entertainment Weekly has a poll of the game of the decade. Results will be revealed in the VGA's. 

http://popwatch.ew.com/2012/11/28/best-videogames-decade/

Choices are 

Legend of Zelda: Windwaker
Half-Life 2
World of Warcraft
Shadow of Colossus
Wii Sports
Bioshock
Portal
Mass Effect 2
Red Dead Redemption
Batman: Arkham City

My vote goes to Bioshock. What would you guys pick.

Obviously it will be impossible to satisfy everyone when the game of the decade poll is narrowed down to 10 games. Entertainment Weekly claims it focused on the impact of the games, but I would argue that if that were true, Portal, Red Dead Redemption, and Batman: Arkham City have no place in this list.

All games are pretty good choices, even if I don't personally enjoy some of them. But there are a few very notable games out there. Either Mario Galaxy 1 or 2, Uncharted 2 or Resident Evil 4, and either Morrowind or Oblivion should replace Portal, RDR, and Batman imo.

Mario Galaxy 1 or 2 because they are the most critically acclaimed games of this generation.
Resident Evil 4 gave rise to the popular third person shooter perspective.
Uncharted 2 because it perfected the cinematic experience.
Morrowind and Oblivion paved the way for sandbox games that didn't have to involve being a street thug.

I'm assuming GTA III and Halo CE didn't make the list because they came out 11 years ago, because if not those should certainly be on the list if impact on the industry is a focus.

I would have also liked Metroid Prime to make the list but it wasn't really influential at, so I could understand why they didn't list it.

None of them are game of the decade imo, but if I had to choose out of those I would pick Mass Effect 2.

WoW in a landslide.

Bioshock.

Also, I love that Wind Waker is in that list. Too bad Metroid Prime isn't. :(

No Metroid Prime?

In terms of being influential, popular, quality and not Wii Sports, WoW should win.

I think one of the two Valve games will get it though.

When you finish: Wind Waker in 4.40.15 done last week. The guy is the master of WW.

http://www.youtube.com/watch?v=0u3djy6Ednc

If you want something to watch before you finish and don't mind minor level spoilers to see some epic glitches he exploits, there's a 5 minute highlight video:

http://www.youtube.com/watch?v=6DIgdnmzGwc

i'm really surprised by the list. No CoD, GTA, Mario Kart , SSBB? Aren't those the top selling games of the last ten years? Out of the ones listed i would say Wii Sports, Half Life 2 or Bioshock

So games 2001-2010 were eligible? Suprised Halo: CE isn't on the list, as you wrote in OP. Also the Super Mario Galaxy omission is weird. Oh well.

Of those listed, I would pick Half-Life 2.

My own games of the decade list would look something like this:

Halo: Combat Evolved
Resident Evil 4
Half-Life 2
Ico
Metroid Prime
Metal Gear Solid 3: Subsistence
BioShock
Super Mario Galaxy
The Legend of Zelda: The Wind Waker
Metroid: Zero Mission

Edit: Oops! It's the best games since 2002. That's a strange starting point. OK, delete Halo: CE and Ico from my list.

Half-Life is indeed the greatest game of the decade. Even though I liked so much the first one and thought the second would never match it, it did O_o

But tied with Half-Life is Super Mario Galaxy. No game will ever make me feel the way I felt the first time I played it. It was a true magical experience, the sense of wonder and adventure in the great void, the Launch star with the epic score behind. Rare piece of gaming bliss.

This.

Also Grand Theft Auto 3? (Edit: Just read the whole OP, yeah, GTA 3 should be there too)