What is the best game of each of these genres have you played.

Action-Adventure-LoZ OoT 

Rpg- Earthbound

Puzzle-Tetris

Fighting-SSBB

Platforming-SM64

Fps-MP3

Tps-Re4

Light Gun-ReUC

Shoot em up- Super Metroid

Survival-Horror-Silent Hill

Racing- Don't really play racing games , but probaly mk64 

Simulator-Roller Coaster Tycoon 2

MMO-WoW

RTS-Starcraft

Music-Gh3 only music game I really got into

Party- Wii Play Don't play too many party games. 

Sports-Wii sports don't play too many sports games. Actually only played about 3.

If you have anymore to add do so.  

Music - Rock Band

Fighting - SSBB for fun, Marvel vs Capcom 2 for technical

RTS - Starcraft

Puzzle - Portal

FPS - Call of Duty 4

RPG - Legend of Dragoon

RPG.- Pokemon Pearl
Figthing.- SSBB
Platforming.- SMG
FPS.- Golden Eye(the only FPS I ever played)
Racing.- MK64
Music.- Elite Beat Agents
Party.- Mario Party 4
Sports.- Super Mario Strikers

Action-Adventure - LoZ OoT

RPG - Golden Sun

Puzzle - Pokemon Puzzle League (No joke)

Fighting - SSBB

Platforming - SMG

Shooter - MP3 (Single Player) TF2 (Multi Player)

Survival - I hate survival games.

Racing - Gran Turismo 2

Simulator - Sim City 3000

MMO - Ragnarok Online

RTS - Starcraft

Music- Flash Flash Revolution

Party - Mario Party

Sports - Tecmo Bowl (Oh, the memories)

Action-Adventure- Legend Of Zelda: Ocarina Of Time
RPG- The Elder Scrolls IV: Oblivion
Fighting- Super Smash Bros. Brawl
Platforming- Super Mario Galaxy
FPS- Halo
TPS- Gears Of War
Light Gun- Resident Evil: Umbrella Chronicles
Racing- Mario Kart 64
Music- Rock Band
Party- Mario Party
Sports- Wii Sports

Rpg- Final Fantasy5
Puzzle-Tetris
Fighting-SSBB
Platforming-SMG
Light Gun-ReUC
Racing- mkSFC
Simulator-FM
Music-Parappa the rapper
Party- MarioParty

Sports-Winning eleven

RPG - Knights of the Old Republic
Puzzle - Tetris (Soon to be replaced by echochrome)
Fighting - SSBM (havn't got a wii, but im sure brawl will replace melee)
Platforming: Mario 64
Racing: Gran Turismo 5: Prolouge
Music: Rock Band
Party: Mario Party 5 (maybe it was 4)
FPS: Call of Duty 4
Sports: MLB 08: The Show
Action/Adventure: God of War 2
TBS: Civ 2

Sim: Rollercoaster Tycoon 3 

Action-Adventure-LoZ OoT

Rpg- Diablo / The Witcher

Puzzle- Tetris

Fighting- Killero Instinct

Platforming-Super Mario 64

Fps - Unreal Tournament 2k4

Tps - Max Payne 2: The Fall of Max Payne

Light Gun - Resident Evil: Umbrella Chronicles

Survival-Horror - Bioshock

Racing- Mario Kart 64

Simulator-Roller Coaster Tycoon 2

MMO- Ragnarok

RTS- Warcraft 2: Tides of Darkness

Music- Audiosurf

Party- Mario Party

SRPG: Heroes of Might & Magic IV
JRPG: Any Final Fantasy or .hack//G.U.
WRPG: Baldur's Gate II
Music: Rock Band
Action: God of War
TPS: Warhawk
FPS: Unreal Tournament 3
Sports: Tiger Woods Golf
RTS: Warcraft 2

I don't really feel like making my own list, but good job dividing the RPG section.  RPGs really should be broken down into those categories.