The genres may be a little confusing so I will note a game for each one below to make it less confusing.
PC
Action - Tom Clancy's Splinter Cell Chaos Theory
Adventure - Grim Fandango
Flight - Microsoft Flight Simulator 2004: A Century of Flight
Platformer - Rayman 2: The Great Escape
Puzzle - Shanghai: Second Dynasty
RPG - Baldur's Gate
Racing - F1 Challenge '99-'02
Shooter - Half-Life 2
Simulation - The Sims
Sports - Madden NFL 2005
Strategy - Black & White
Console
Action - Grand Theft Auto - San Andreas
Adventure - ICO
Fighting - Virtua Fighter 4: Evolution
Flight - Ace Combat 5: The Unsung War
Music - Amplitude
Platformer - Jak II
RPG - Final Fantasy X
Racing - Gran Turismo 3 A-spec
Shooter - Twisted Metal: Black
Simulation - Sky Odyssey
Sports - Tony Hawk's Pro Skater 3
Strategy - Disgaea: Hour of Darkness
PC
Action - Tom Clancy's Splinter Cell Chaos Theory
Adventure - Grim Fandango
Flight - Microsoft Flight Simulator 2004: A Century of Flight
Platformer - Rayman 2: The Great Escape
Puzzle - Shanghai: Second Dynasty
RPG - Baldur's Gate
Racing - F1 Challenge '99-'02
Shooter - Half-Life 2
Simulation - The Sims
Sports - Madden NFL 2005
Strategy - Black & White
Console
Action - Grand Theft Auto - San Andreas
Adventure - ICO
Fighting - Virtua Fighter 4: Evolution
Flight - Ace Combat 5: The Unsung War
Music - Amplitude
Platformer - Jak II
RPG - Final Fantasy X
Racing - Gran Turismo 3 A-spec
Shooter - Twisted Metal: Black
Simulation - Sky Odyssey
Sports - Tony Hawk's Pro Skater 3
Strategy - Disgaea: Hour of Darkness