This isn't limited to first party titles, this also includes third party exclusives. Oh and they have to be relevant and have somewhat modern renditions, so no Duck Hunt or anything like that. My list is:

-Red Steel

-The Conduit

-Steel Diver

-Pilotwings

-Professor Layton

-Chibi Robo

-Any Mario spinoff besides Mario Kart. That includes the RPG's.

-All Wii titles. Wii Sports, Wii Play, etc.

-Punch Out!!

-Geist

-Any Pokemon Spinoff (Besides Snap and Stadium)

-Big Brain Academy

-Mario and Sonic at the Olympics

-Golden Sun

-Advance Wars

-Brain Age

-Nintendogs

-Luigi's Mansion

-Animal Crossing

-PilotWings

-The Conduit

-Mario Party

-Wii Music

-Wii Play

-Any Pokemon spinoff besides the colloseum/stadium games

-Denpamen

-Nintendogs

-Any Mario sports game other than tennis, which includes the Olympics (although I need to at least try Strikers)

-F-Zero

-Super Monkey Ball

-Anything involving Rabbids

Sad to say Kirby, Yoshi, F-Zero and Star Fox

Zelda, Mario Party, and Wii anything

Zelda, Star Fox, and Prof.Layton come to mind first of all.

- Professor Layton (pls don't kill me)

- Chibi Robo

- Pilotwings

- Any Pokemon Spinoff

The rest is fine to me

I copied some:

- Steel Diver

- Pilotwings

- Professor Layton

- Chibi Robo

- All Wii titles. Wii Sports, Wii Play, etc.

- Any Pokemon Spinoff

- Big Brain Academy

- Mario and Sonic at the Olympics

- Hyrule Warriors

- New Style Boutique

Every single one, except for 2D Mario, I would probably also play Mario Kart if I had a Wii U but that's never going to happen.

Animal's Crossing.. Can somebody explain to me what's so damn awesome about that franchise?? I just don't understand. :/

F-Zero, Steel Diver, Nintendogs, Pilotwings, Brain Age are what come to mind at the moment.