I'm gonna go ahead and list every Wii game I own as of right now just because I can. Note that I've had my Wii since launch and I'm going in chronological order of when I got certain games:
-Red Steel (good at the time of launch, but the controls feel really wonky now and you can get better FPSs for the Wii)
-The Legend of Zelda: Twilight Princess
-Marvel Ultimate Allicance
-Far Cry: Vengeance (impulse buy, don't recommend this, it's a pretty ugly looking game, seriously...)
-Call of Duty 3 (see Red Steel's note)
-Excite Truck
-Splinter Cell: Double Agent
-SSX Blur
-Sonic and the Secret Rings
-Super Paper Mario
-Metroid Prime 3: Corruption (if you can, just buy "Metroid Prime: Trilogy" since MP3 is still at $50 for some weird reason, and with MP:T you get three games for the price of one)
-Resident Evil: The Umbrella Chronicles
-Super Mario Galaxy
-Zack and Wiki
-Medal of Honor Heroes 2
-Battalion Wars 2 (highly underrated shooter/strategy game, highly reccomended for strategy game fans)
-No More Heroes
-Super Smash Bros. Brawl
-The House of the Dead 2&3 Return
-Mario Kart Wii
-Okami
-Spyro: Eternal Night
-Spyro: Dawn of the Dragon
-Castlevania Judgment
-Call of Duty: World at War
-Sonic Unleashed
-Dead Rising: Chop Till You Drop
-The House of the Dead: Overkill
-Madworld
-Punch-Out!!
-The Conduit
-Wii Sports Resort
-Metroid Prime: Trilogy
-Dead Space: Extraction
-Resident Evil: The Darkside Chronicles
-Silent Hill: Shattered Memories
-New Super Mario Bros. Wii
-Final Fantasy Crystal Chronicles: The Crystal Bearers
-No More Heroes 2: Desparate Struggle
(note that I probably forgot a game or two, I'm not typing this from my house)
What I'm looking forward to (only gonna name a select few):
-Tatsunoko vs. Capcom (at the time of writing this it just came out, but I have to wait until my birthday in March)
-Fragile Dreams: Farewell Ruins of the Moon
-Red Steel 2
-Sin and Punishment 2: Successor to the Universe
-Arc Rise Fantasia
-Tales of Graces
-The Grinder
-Epic Mickey
-Super Mario Galaxy 2
-Metroid: Other M
-Zelda Wii
This doesn't include all of the downloadable games I own too, but I'll stick to retail for this list. I should note that I did buy an Xbox 360 in mid 2008, and it's collection is sizable as well. Not nearly as big as my Wii collection, but still enough to satisfy me.