I've owned a Wii and a ps3 since launch.

Wii - 4 games - All are first party (as 90% of the games I buy for Nintendo consoles are). Tomorrow No More Heroes will be added to this list, making it my first 3rd party Wii game. Zack & Wiki is also on my wish list, but I probably won't buy it until after SSBB hits.

Wii Sports
The Legend of Zelda: Twilight Princess
Super Mario Galaxy
Link's Crossbow Training

Virtual Console - 4 games, all NES and 1st party. LoZ: A Link to the Past will be my next purchase.

Super Mario Bros.
Super Mario Bros. 2
Super Mario Bros. 3
Kirby's Adventure

PS3 - 4 games (not including GTHD) - Three are 1st party, one is 2nd party. Ratchet & Clank is on my wish list, but I probably won't buy it until after MGS4 hits, if at all.

Resistance: Fall of Man
Warhawk
Heavenly Sword
Uncharted: Drake's Fortune

Yo tengo el Wii desde Navidad y por lo tanto solo tengo el Wii Sport, el Mario Galaxy y el Mario Strikers Charged, próximamente el SSBB, el Mario Kart Wii y el Wii Play(necesito otro wiimote) todos ellos de first party.

I got my Wii on 12/25/2007

I currently own the games:

Wii Sports
Wii Play
Super Mario Galaxy
Super Mario Paper
Zelda: TP
Trama Center: New Blood
Super Monkey Ball Banana Blitz
Mario Party 8

All games where bought new. Both my g/f and I use it everyday. 

I have a PS3 (about 12 months)

disc games:
Warhawk
Heavenly Sword
Call of Duty 4
Resistance
NHL 2K7
Ninja Gaiden Sigma
UT3
Armored Core 4
Ratchet and Clank
Enchanted Arms
Time Crisis 4
Genji 2

PSN games:
Super Puzzle Fighter 2 Turbo HD
Super Star Dust HD
Castlevania: SON

Games paid in full but not out yet:
MGS4
DMC4
Hot Shots 5 (for my GF)
GTA4 (again for my GF)
Haze

still plan to pick up Uncharted in the next week or so as well

I've had my PS3 since the end of July (Bastards introduced a bundle the next week).

I got Rainbow Six, Resistance, Virtua Tennis 3 and F1 championship edition at launch (425 console plus 4 games = £575, each game £37.5)

Since then ive bought Warhawk (downloaded), NBA 2K8 (£25 cheap buy), Pro Evo 2008, Uncharted, Oblivion, Bladestorm, COD4, Assassins Creed, Heavenly Sword and Ratchet and Clank. (14)

PSN - Calling all cars, LocoRoco,Super Stardust HD and Vegas strip poker. (4)
So, 18 games altogether in around 7 months...eek.

Wii since Euro launch, 12 games , 5 games 3rd party

Super MArio Galaxy
MEtroid Prime 3
REsident Evil UC
Red Steel
Trauma Center Second Oppinion
Wii Sports
Warioware
Dragonball Z budukai tenkaichi 2
Super Paper MArio
Legend of Zelda TP
Links crossbow training
Dragonblade Wrath of fire

Plan on getting SSBB, Mario Kart, Z&W, Endless Ocean, Elebits, PES 2008, Fragile, Medal of Honour heroes 2 and other games that will appear in 2008.

Xbox360, one month, 3 games

Mass Effect
Halo 3
Blue Dragon

Plan on getting CoD4, Gears of War, GTA4, maybe DMC4 and others if a deem them worthy.

Wii for 13 months (EU launch). 13 Games.

First Party :
- Wii Sports (launch, bundled)
- Wii Play (launch, bundled with remote) : 50€
- Zelda TP (launch) : 60€
- Excite Truck (launch) : 50€
- Mario Strikers (launch) : 50€
- Super Paper Mario (launch, used) : 39€
- Mario Galaxy (launch) : 50€

Third Party :
- Rayman RR (launch) : 60€
- Cooking Mama (launch) : 50€
- Resident Evil 4 (launch) : 40€
- Red Steel (used) : 19€
- Table Tennis (christmas)
- Resident Evil UC (christmas)

GC games bought since I got my Wii (all bargain & used) : Battallion Wars, Killer 7, Residen Evil 4, Resident Evil 0, Resident Evil Rebirth, Resident Evil Code Veronica X, Pikmin 2, Metroid Prime, Sonic Mega Collection, Soul Calibur 2, Beach Spikers, Bloody Roar PF, Doshin the Giant, Mario Strikers.

 Glad you like the game. it really is nice.

 Well, although I'm considering to buy a Wii as soon as it gets cheaper, because is so different both from PC gaming and previous console gaming, right now I have a PC with tens of games, so my gaming situation is

DON'T LAUGH!

I've had an Intellivision for 20+ years (now my sister has it):

Tens of games, among them:

two tennis games

a soccer game 

6+ space battle games 

AD&D: Treasure of Tarmin

a Scooby Doo game

Microsurgeon

Burger Time

a poker & blackjack game 

Tron Deadly Discs

a tank battle

a motocross game 

... I don't remember the others...

Up until a few years ago I still played some of them every now and then. 

I've had a PC for more than 10 years and I've used PCs for more than 16 years

(But I used home computers and UNIX computers before  x86 PCs)

Tens of games, among them:

Morrowind **

Thief Gold

Thief II

Thief III *

Deus Ex

Half Life (compilation with also Opposing Force, CS and BlueShift)

Hexen

Heretic II

Hexen II

Quake II

Terra Nova

Interstate 76

Mechwarriors II: Mercenaries

Planescape: Torment *

Temple of Elemental Evil **

Tomb Raider 

Tomb Raider II

MDK

Syndicate Wars

Grand Prix Legends ***

TOCA Race Driver

Unreal

Unreal Tournament

Fallout II

Throne of Darkness

Gothic

Gothic II with expansion ****

Duke Nukem 3D

Ecstatica II

Myth

Myth II

GTR ***

GT Legends 

and others... 

* games I'm currently playing 

** games I've stopped playing for a while, perhaps I'll continue them... I like them, but I try to do every subquest, so I lose the thread or get tired for a while...

***  racing games I stopped playing or never started, waiting to play

        them as soon as I'll buy a steering wheel

**** games I haven't had the time to start yet

With regard to Wii, I think I'd like some sport games and party games and I hope they'll do (If there aren't already decent ones) some hack 'n' slash RPG where Wiimote can be used as a sword, axe, mace, crossbow, magic wand, etc., but possibly not games in a "nintendish" style, more AD&D if I made myself clear...