i can only think off, goldeneye 007 :/

1. No More Heroes
2. Red Steel 2
3. No More Heroes 2
4. The Last Story
5. Green Day: Rock Band (because they're my favourite band)

Other good games:
Tiger Woods 11
Rune Factory Frontier

the last story
no more heroes
madworld
little king's story
monster hunter tri

the trauma games were awesome. I really want another one of those for Wii U or 3DS. Wii controls were perfect for that game.

World of Goo. no one has said it yet, so I don't like or respect any of you.

this is going to be hard with the rules.

Goldeneye 007 (are we counting remakes?)
Red Steel 2
Tatsunoko vs. Capcom
Sonic Colors
Rayman Origins

Xenoblade was developed by Monolith Soft, which is a fully owned subsidiary of Nintendo. It's just as much of a Nintendo game as Mario is xD.

Anyway let's see... I think I only own 5 non Nintendo games for the Wii, so here they are:

- GoldenEye 007

- Trauma Center: Second Opinion

- Resident Evil 4: Wii Edition

- Resident Evil: The Umbrella Chronicles

- Naruto Clash of Ninja Revolution 2

Definitely counting that, its more of a reimagining than a remake.

I forgot about Rayman...

The lists below only count games I have personally played. There are plenty of games I never got to play or games I still have sitting on my shelf. Games I still have on the shelf include Red Steel 2, Disney Epic Mickey, Little King's Story, Silent Hill: Shattered Memories, Monster Hunter Tri, and Rune Factory: Frontier. I expect them all to be pretty good, but I don't know for certain yet. Anyway, on with the list:

1. Tiger Woods PGA Tour 10
2. Muramasa: The Demon Blade
3. de Blob
4. Call of Duty: Modern Warfare: Reflex Edition
5. Boom Blox
6. No More Heroes
7. MadWorld
8. Metal Slug Anthology
9. Overlord: Dark Legend
10. Ghostbusters: The Video Game
11. A Boy and His Blob

There are other third party games in my library that I have played that are not even worth mentioning.

Great games that don't count based on the thread rules:
1. Resident Evil 4: Wii Edition
2. Okami

Great third party WiiWare games:
1. World of Goo
2. LostWinds: Winter of the Melodias
3. LostWinds
4. Tetris Party
5. NyxQuest: Kindred Spirits
6. BIT.TRIP BEAT

My Wii backlog is immense, so this is going to be difficult.

1. Zack & Wiki: Quest for Barbaros' Treasure
2. No More Heroes
3. Epic Mickey
4. GoldenEye 007
5. Red Steel 2