In my opinion, yes.
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Sonic the Hedgehog (1991) Sonic the Hedgehog (8-bit) Sonic the Hedgehog 2 Sonic the Hedgehog 2 (8-bit) Sonic Chaos Sonic Spinball Sonic CD Sonic the Hedgehog 3 Sonic & Knuckles Sonic Drift Sonic Triple Trouble Sonic Drift 2 Sonic 3D Blast Sonic Blast Sonic the Fighters Sonic R Sonic the Hedgehog Pocket Adventure Sonic Adventure Sonic Shuffle Sonic Adventure 2 Sonic Adventure 2 Battle Sonic Advance Sonic Advance 2 Sonic X (Leapster) Sega Superstars Sonic Battle Sonic Advance 3 Sonic Rush Sonic Rush Adventure Sonic Pinball Party Sonic Adventure DX Sonic Heroes Shadow the Hedgehog Sonic Riders Sonic the Hedgehog (2006) Sonic Rivals Sonic and the Secret Rings Sonic Rivals 2 Mario & Sonic at the Olympic Games Sonic Riders: Zero Gravity Super Smash Bros. Brawl Sonic Chronicles: The Dark Brotherhood Sonic Unleashed Sonic and the Black Knight Mario And Sonic At The Olympic Winter Games Sonic & SEGA All-Stars Racing Sonic Classic Collection Sonic the Hedgehog 4 Episode I Sonic Free Riders Sonic Colors Sonic Generations Mario And Sonic At The 2012 London Olympic Games Sonic The Hedgehog 4 Episode II Sonic The hedgehog 4 Episode Metal Sonic & All Stars Racing Transformed
They call it Super Mario Bros Wii for a reason
Sonic the hedgehog
Here are the Sonic games for the Wii: Sonic and the Secret Rings, Mario and Sonic at the Olympic games, Sonic Unleashed, Sonic and the Black Knight, Sonic Riders Zero Gravity, Sonic Colors, Sonic The Hedgehog, Sonic & SEGA All-Stars Racing, Sonic made an appearance in Super Smash Bros. Brawl, but that's not an actual Sonic game.
In the cutscene before the final battle with Tabuu, Sonic will appear and shatter Tabuu's wings. Sonic can then be chosen as one of the characters to fight Tabuu, and then you've unlocked Sonic the Hedgehog!