I was given a Wii as an unexpected birthday gift one year and I played it for about a year or two until the kids were old enough to take over. I got given the WiiU as a gift later but took it back on the first day because it didn't do any of what it promised. From the sounds of it, the Nintendo Switch (and more recently, the Steam console) is finally delivering on that promise but I'm not going there. My primary gaming platform is the PC.
The best thing about the Wii were the natural controls which were particularly fun for Star Wars - The Force Unleashed. It's also what made the original Wii console a must have for every "old people's home" in the country. Sadly, the WiiU and subsequent consoles forgot all that in favour of portability.
The Force Unleashed
The Force Unleashed II
Aragorn's Quest
Lego Star Wars III
Lego Harry Potter: Years 1-4
Soulcalibur Legends
Zelda: Twilight Princess
The Force Unleashed
The best use of the Wii's intuitive controls. It was like having your own lightsaber and probably some of the best exercise available.
Aragorn's Quest
Oddly Enough, this was one of the best of the Lord of the Rings Games
Scooby Doo and the Spooky Swamp
One of the better Scooby Doo Games.
Sam and Max
The long awaited sequels to the original brilliant Lucasarts game finally appeared on the Wii.
Aragorn's Quest
Disney Epic Mickey
Sam and Max (was enjoying it but got too busy)
Soulcalibur Legends (got too hard but only near the end).
Zak and Wiki (was enjoying it but got too busy)
Carnival Games
The Chronicles of Narnia: Prince Caspian
MadWorld
Monkey Mischief! 20 Games
Obscure 2
Resident Evil: The Umbrella Chronicles (Tried but will get eventually)
Resident Evil Archives: Resident Evil Zero (Just too hard, complex etc)
Scooby-Doo! and the Spooky Swamp
Star Wars: The Clone Wars – Lightsaber Duels
Star Wars: The Clone Wars - Republic Heroes
The Force Unleashed I and II
Games that I never got around to playing but still have in a drawer somewhere waiting for the day I retire (yeah right).
Harry Potter and the Order of the Phoenix
Lego Indiana Jones 2: The Adventure Continues
Broken Sword: The Shadow of the Templar (Director's Cut)
Carnival Games: Mini-Golf
Club Penguin: Game Day!
Conduit
Disaster: Day of Crisis
MySims: Agents
MySims: Kingdom
SimAnimals
SimCity Creator
The Sims 2: Castaway
WiiFit
Indiana Jones and the Staff of Kings (too hard)
WALL-E (too hard)