This counts for Wii U and Nintendo 3DS, not Wii.
I own these on the Wii U:
Super Mario Kart
Mario Kart: Super Circuit
Mario & Luigi Superstar Saga
Mario & Luigi: Partners in Time
Ice Hockey
Tennis
Pinball
Super Mario Bros.
Super Mario Bros.: The Lost Levels
Super Mario Bros. 2
Super Mario Bros. 3
Super Mario World
Yoshi's Island: Super Mario Advance 3
Mario Golf: Advance Tour
F-Zero
F-Zero Maximum Velocity
Ice Climber
Donkey Kong
Donkey Kong Jr.
Donkey Kong 3
Kirby's Adventure
Kirby & The Amazing Mirror
Kirby's Dream Land 3
Kirby's Dream Course
Kirby Superstar
Yoshi
Mega Man
Wrecking Crew
Mario Bros.
Excitebike
Balloon Fight
Donkey Kong 64
And on the 3DS:
Super Mario Land
Super Mario Land 2: 6 Golden Coins
Super Mario Bros. Deluxe
Kirby's Pinball Land
36 in total (not counting Wii VC games).
I own these on the Wii U:
Super Mario Kart
Mario Kart: Super Circuit
Mario & Luigi Superstar Saga
Mario & Luigi: Partners in Time
Ice Hockey
Tennis
Pinball
Super Mario Bros.
Super Mario Bros.: The Lost Levels
Super Mario Bros. 2
Super Mario Bros. 3
Super Mario World
Yoshi's Island: Super Mario Advance 3
Mario Golf: Advance Tour
F-Zero
F-Zero Maximum Velocity
Ice Climber
Donkey Kong
Donkey Kong Jr.
Donkey Kong 3
Kirby's Adventure
Kirby & The Amazing Mirror
Kirby's Dream Land 3
Kirby's Dream Course
Kirby Superstar
Yoshi
Mega Man
Wrecking Crew
Mario Bros.
Excitebike
Balloon Fight
Donkey Kong 64
And on the 3DS:
Super Mario Land
Super Mario Land 2: 6 Golden Coins
Super Mario Bros. Deluxe
Kirby's Pinball Land
36 in total (not counting Wii VC games).