Wii since April 2007.
Just over one game a week since -- 43 total
(Note that I buy many games second-hand),

Battalion Wars 2*
Big Brain Academy
Blazing Angels
Bust-a-Move
Carnival Games
Cooking Mama
Cosmic Family
Dewey's Adventure
EA Playground
Elebits
Elevator Mission
Excite Truck
Fire Emblem*
Fishing Master
Game Party
Geometry Wars
Ghost Squad
Heat Seeker
Link's Crossbow Training
Marble Maddness
Mario & Sonic
Mario Party 8
Mario Strikers
Mercury Meltdown Revolution
Metroid Prime 3
Monkey Ball
Mortal Kombat
Namco Remix
Puzzle Quest
Rayman Raving Rabbids
Rayman Raving Rabbids 2*
RE 4
RE: UC
Red Steel
Sonic & Secret Rings
Super Mario Galaxy
Super Paper Mario
Trauma Center
Wario Smooth Moves
Wii Play
Wii Sports
Zack & Wiki
Zelda: TP

Third party games now italicized.
(Note: The three titles marked with *'s have been bought but my wife has not given them to me as presents yet).

Mike from Morgantown

Wii: 6-7ish months

Wii Sports
Wii Play
Super Paper Mario
Mario Party 8
Zak & Wikki
Super Mario Galaxy

... so 5/6 are first party... but that ratio will be shifting more towards third-party favour in the next couple of months with what I'm interested in purchasing.

Update: I didn't realize folks were including every game that had owned for a system.

I have sold 4 Wii games, and 10 360 games, including Thrillville, Jericho, Hour of Victory, NASCAR 08, Virtua Fighter 5, MotoGP 07, Kameo, Madden 06, Perfect Dark Zero, Test Drive Unlimited.

I got my Wii in February '07. I have 13 games:

First Party:
Wii Sports (bundled)
Wii Play
LoZ:TP
Wario Ware: Smooth Moves
Super Paper Mario
Super Mario Galaxy (just bought today)

Third Party:
Super Swing Golf
Excite Truck
Guitar Hero 3
Trauma Center Second Opinion
Resident Evil: UC
Madden '07
Super Monkey Ball Banana Blitz

All were boought new, and I don't have any VC games.

Wii: 14 months: 15 games: 4 3rd party: 1 Pack-in

PS3 since launch, 10 games, no packins, 3 are Sony games, plus 3 PSN games.

Wii: Since launch.  System is currently being repaired in Syracuse, NY.

Wii Sports (pack-in with Wii)
Wii Play (pack-in with Wii Remote)
Link's Crossbow Training (pack-in with Zapper)
Twilight Princess
Super Mario Galaxy
Metroid Prime 3: Corruption
Mercury Meltdown Revolution ($20 at launch)
Resident Evil 4: Wii Edition ($30 at launch)
Resident Evil: Umbrella Chronicles
Warioware: Smooth Moves (my girlfriend's)
Elebits (my girlfriend's)

My girlfriend is probably going to trade-in Elebits, and possibly Warioware.  I may or may not trade-in both Resident Evil games, depending on their trade-in value and my income situation when Brawl/Mario Kart/GH3 guitars/etc. come out.

PS3 since US launch. Here is my list.

Blu-ray (16):
Marvel: Ultimate Alliance
Resistance: Fall of Man
MotorStorm
The Elder Scrolls IV: Oblivion
Tom Clancy's Rainbow Six: Vegas
Ninja Gaiden Sigma
Warhawk
Heavenly Sword
The Eye of Judgment
Ratchet & Clank Future: Tools of Destruction
Call of Duty 4: Modern Warfare
Assassin's Creed
Rock Band: Special Edition
Uncharted: Drake's Fortune
Unreal Tournament III
Time Crisis 4

PSN (3):
Lemmings
Blast Factor
Calling All Cars!

ps3, since august (5 months):
resistance, ratchet, ngs, warhawk, eoj, rock band

4 fp, 2 tp.

need to get a bunch of games still.

edit* i also have everyday shooter 

PS3 since october

Resistance: Fall of Man
NBA 2K8
Call of Duty 4
Beowulf: The Game
Need For Speed: Carbon
Ninja Gaiden Sigma
Stranglehold (Collector's Edition)
Need for Speed: Pro Street
Heavenly Sword

(psn)
High Velocity Bowling