OK - I don't know if I haven't done something like this in the past but instead of a stupid Top10 I'll compile a list of "Games You Should Have Seen and/or Played Unless You Suck and Are Not a True Gamer (According to Me)"
2000:
Diablo 2
Homeworld: Cataclysm (technically an expansion but I just want the first Homeworld to make the list

)
The Legend of Zelda: Majora's Mask (N64)
(The Operative:) No One Lives Forever
Giants: Citizen Kabuto
2001:
Conker's Bad Fur Day (N64)
Black & White
Red Faction
Castlevania: Circle of the Moon (GBA)
Super Mario Advance (GBA) (a.k.a. Super Mario Bros. 2 - yes, it counts

)
Mario Kart Super Circuit (GBA)
Advance Wars (GBA)
Civilization III
Golden Sun (GBA)
Halo: Combat Evolved
Return to Castle Wolfenstein
Super Smash Bros. Melee (GC)
2002:
Warcraft III: Reign of Chaos
Battlefield 1942
Kingdom Hearts (PS2)
No One Lives Forever 2(: A Spy In H.A.R.M.'s Way)
Metroid Prime (GC)
The Legend of Zelda: The Wind Waker (GC)
2003:
Warcraft III: The Frozen Throne
Homeworld 2
Fire Emblem (GBA)
Prince of Persia: The Sands of Time
Mario & Luigi: Superstar Saga (GBA)
Mario Kart: Double Dash!! (GC)
2004:
Metroid: Zero Mission (GBA)
Ninja Gaiden (Xbox)
Unreal Tournament 2004
Fable
Warhammer 40,000: Dawn of War
Paper Mario: The Thousand-Year Door (GC)
Halo 2
Metroid Prime 2: Echoes (GC)
Half-Life 2
Super Mario 64 DS (NDS) (it counts!

)
[insert distinct lack of World of Warcraft here - har, har, har]
Prince of Persia: Warrior Within
2005:
The Legend of Zelda: The Minish Cap (GBA)
God of War (PS2)
Lego Star Wars: The Video Game
Psychonauts
Fire Emblem: The Sacred Stones (GBA)
Kirby: Canvas Curse (NDS)
Battlefield 2
Advance Wars: Dual Strike (NDS)
Warhammer 40,000: Dawn of War: Winter Assault
Castlevania: Dawn of Sorrow (NDS)
Civilization IV
Mario Kart DS (NDS)
Perfect Dark Zero (Xbox 360)
Prince of Persia: The Two Thrones
2006:
Metroid Prime Hunters (NDS)
Kingdom Hearts II (PS2)
New Super Mario Bros. (NDS)
Half-Life 2: Episode One
LEGO Star Wars II: The Original Trilogy
Company of Heroes
ÅŒkami (PS2)
Gears of War
Castlevania: Portrait of Ruin (NDS)
The Legend of Zelda: Twilight Princess (GC)
2007:
God of War II (PS2)
S.T.A.L.K.E.R.: Shadow of Chernobyl
BioShock
The Legend of Zelda: Phantom Hourglass (*sigh*)
The Orange Box
[another controversial non-entry: Assassin's Creed]
Mass Effect (though I was never THAT hyped about it)
[couldn't care less about Call of Duty 4: Modern Warfare - and that though I'm supposed to be the FPS-guy]
2008:
Advance Wars: Days of Ruin (NDS)
Castlevania: Order of Ecclesia (NDS)
Left 4 Dead
Chrono Trigger (NDS) (It counts!)
Professor Layton and the Curious Village
Fallout 3
2009:
Warhammer 40,000: Dawn of War II
Batman: Arkham Asylum
Professor Layton and the Diabolical Box (NDS)
[don't like Borderlands]
[no Left 4 Dead 2 - as you all know the game proved to have SO little lasting appeal to me]
Assassin's Creed II (no Assassin's Creed I and yet we have II? Yes!)
Thought I go through almighty Lim's list and see which games I got. Not a bad score overall I'd say