No More Heroes 1 & 2

Fking awesome games!!!!

Haha, I'm in the exact same situation as you, but I did have a Wii, and I sold it.

Anyway, I recommend.

• Resident Evil 4 (Wii edition)
• Super Mario Galaxy 1 2
• Okami
• The Legend of Zelda: Twilight Princess
• Mario Kart
• Super Smash Bros Brawl

as a Nintendo legend and fan i can't recommend any as there all getting low reveiw scores from me, (and i refuse to those revew scores) and i will comment no further.

all personal experiance.

Don't forget DMeisterJ's Xbox360.

here's my essential line up:

Wii Sports Resort (if it isn't in bundle with the console)

Super Mario Galaxy

Super Mario Galaxy 2

Donkey Kong Country Returns

New Super Mario Bros. Wii

Mario Kart Wii

Super Smash Bros. Brawl

Metroid Prime Trilogy (or Metroid Prime 3: Corruption if you can't find the trilogy)

The Legend Of Zelda: Twilight Princess

Okami (if you haven't played it on ps2)

Resident Evil 4: Wii Edition (worth playing even if you already have played it)

No More Heroes

No More Heroes 2: Desperate Struggle

Sin & Punishment: Successor To The Sky  (called Sin & Punishment: star successor in the US)

Silent Hill: Shattered Memories

Tatsunoko Vs. Capcom: Ultimate All-Star

Guilty Gear XX Accent Core Plus (but please, buy a classic controller to play this, it's atrocious with the wiimote)

Red Steel 2

Goldeneye 007

One of my favorite things about the Wii was that it made arcade-style rail shooters relevant to home console gaming.  No requirement to buy a bulky plastic gun (but you can get that sweet Nyko shell if you like), and no calibration necessary.  No needing to navigate menus with one controller and shooting with the plastic light gun.  They're the simple pick-up-and-play games they were meant to be.

Freed to the build depth into them, though, some developers were very crafty with their rail shooters.  As such, I recommend the following in order of quality from best to worst:

House of the Dead: Overkill
Dead Space Extraction  (Excellent if you're a Dead Space fan as this adds to the overall narrative  of the franchise)
Resident Evil Umbrella Chronicles  (not perfect, but a solid game with great, though sometimes silly challenges and modes)
Resident Evil Darkside Chronicles (this improved a lot of things over UC, but featured a "realism shaky camera" that hindered some of the gameplay)
House of the Dead 2 & 3 Return (good classic arcade shooter action, eventually with unlimited continues)

Resist the urge to be a dumbass and dismiss the games as "just rail shooters" as rail shooters are actually pretty fun, and these especially are.

I would also recommend:

MadWorld
Kirby's Epic Yarn
Punch-Out!! (remake)
World of Goo (WiiWare)
Contra ReBirth (WiiWare)
No More Heroes 1 & 2
Manhunt 2--imperfect in many ways, but the motion controls seriously add a lot to the game.
Muramasa: Demon Blade

...some others.  I may get back to you, but I'm trying to give you something different from some of the obvious titles other gamers will suggest.

the legend of zelda:  twilight princess

super mario galaxy 1 and 2

mario kart wii

monster hunter tri

vahalla knights : elder saga

ocarina of time ( virtual console download )

deadly creatures

resident evil 4 wii edition

resident evil umbrella chronicles

mad world

golden eye 007

conduit 1 and 2

NSMB,Galaxy 1 and 2, Donkey Kong Country Returns, Twilight princess, Metroid Prime and Other M - are some of the best of Nintendo's offerings.

Resident Evil 4, Little King's Story, GoldenEye, Umbrella chronicles, Zak and Wiki

It really depends on your tastes. I have played and own a ton of games. If you have further questions just ask.

This^. A thousand times this.

*Runs off to play Endless Ocean 2 some more* 

smeags list is very very good and take anything on there into consideration:

In particular, I would recommend SM Galaxy 1 and 2, my favourite platformers ever made and IMO the best games this generation.