I bought a Wii at Best Buy couple weeks ago, mostly for the novelty of being able to just buy one off the shelf. You know, like a regular consumer product. I then spent about twenty minutes in the Wii section looking for a game or two to pick up.
I already owned Resident Evil 4: Wii Edition(which is excellent!) and Okami(which is borked). I ended up buying Baroque and Super Mario Galaxy, both of which are fun. I couldn't really find anything else worth buying though: there were too many shady brain training clones and Bratz titles to sift through.
Shopping for Wii software is a nightmare. I don't really want to add to the general noise surrounding Nintendo's current gen console, but the amount of shovelware on store shelves is truly incredible: it's gotten to the point that the crappy mini games collections and ported flash games are actually impeding a person looking for something a bit more in line with traditional console gaming. It's a bummer, because I really want to use this Wii I've bought for something other than playing through Castlevania 3 and Secret of Mana again.
So help a brother out: list all the Wii games that would interest a typical 'hardcore gamer'. This is not the place for Imagine Babyz or Wii Music: this is a thread for Metroid Prime 3 and Smash Brothers. As a rule, don't recommend games like Target: Terror, which are very poor games even if they are technically targeted at the core market. GOOD games interest the core gamer, which is why they don't target us with "Carnival Games" too. Compilations available on other systems should be avoided as well: unless you own a stick or a gamecube controller, you aren't going to have as good a time with King of Fighters Orochi Saga on the Wii as you would on PSP or PS2. you're also going to spend ten extra dollars for some mysterious reason.
As people suggest titles, I'll update this first post so people can browse more easily.
NEW RULE: No downgraded ports allowed. If you want to play Call of Duty 5, I don't think the Wii is the best place to do it. I'm making one exception for RE4, since it's actually an improvement over the Gamecube and PS2 iterations.
DISC BASED GAMES
Baroque
Battalion Wars 2
Boom Blox
Broken Sword The Shadow of the Templar
Bully
Captain Rainbow(currently import only)
Castle Shikigami III
de Blob
Deadly Creatures
Dewy's Adventure
Dokapon Kingdom
Dragon Quest Swords: The Masked Queen and the Tower of Mirrors
Drawn to Life
Elebits
Endless Ocean
Endless Ocean 2
Excite Truck
Final Fantasy Fables Chocobo's Dungeon
Fire Emblem: Radiant Dawn
Geometry Wars Galaxies
Ghost Squad
Guilty Gear XX: Accent Core (Get a stick. Seriously.)
Guitar Hero III & 4
House of the Dead 2 & 3 Return
Kororinpa: Marble Mania
Legend of Zelda: Twilight Princess
Lego Batman
Lego Indiana Jones
Lego Star Wars
Link's Crossbow Training
Mario Kart Wii
Mario Strikers Charged
Mario Super Sluggers
Medal of Honor Heroes 2
Mercury Meltdown
Metroid Prime 3: Corruption
MLB Power Pros series
Nights
No More Heroes
Okami
Oneechanbara Bikini Zombie Slayers
Opoona
Order Up!
Pro Evolution Soccer 2008
Raymans' Raving Rabbids
Resident Evil 4: Wii edition
Resident Evil: Umbrella Chronicles
Rock Band 1 & 2
Sam & Max: Season One
Shaun White Snowboarding: Road Trip
Super Mario Galaxy
Super Monkey Ball Banana Blitz
Super Paper Mario
Super Smash Brothers Brawl
Tales of Symphonia: Dawn of a New World
Tatsunoko vs. Capcom (currently import only)
Tenchu 4
Trauma Center: New Blood
Trauma Center: Second Opinion
Ultimate Shooting Collection
Wario Land shake it
WarioWare: Smooth Moves
WWE SmackDown vs. RAW 2009
Zack & Wiki: Quest For Barbaros' Treasure
WiiWare:
Alien Crush Returns
Art Style series
Bomberman Blast
Dr. Mario Online Rx
Final Fantasy Crystal Chronicles: My Life as a King
Groovin' Blocks
Gyrostarr
LostWinds
Megaman 9 (Available on 360 and PS3 as well)
Space Invaders Get Even
Star Soldier R
Strong Bad series
Tetris Party
Toki Tori
World of Goo (Available on PC as well)