Wii
USA: Kirby's Return to Dream Land
EU: Kirby's Adventure Wii
US: Bully
EU: Canis Canem Edit [note: Latin for "dog eat dog".]
EU: Probotector
US: Teenage Mutant Ninja Turtles: The Hyperstone Heist
EU: Teenage Mutant Hero Turtles: The Hyperstone Heist [note: "ninja" was a controversial word in the UK]
US: Ghost Trick: Phantom Detective
USA: Fluidity (WiiWare)
EU: Hydroventure
US: Indigo Prophecy
EU: Fahrenheit [note: strange choice to name a game after a temperature metric that no countries in the EU actually use...]
US: Where's Waldo
Trick! This NES game never came out in EU territories.
US: Beyond Oasis
US: Brain Age
EU: Brain Training
US: Wario Land Shake It
EU: Wario Land The Shake Dimension
US: Fatal Frame
EU: Project Zero
US: Life Force
EU: Life Force: Salamander [note: Salamander is acceptable answer]
EU: Soleil
US: Rhythm Heaven
EU: Rhythm Paradise
US: Rotozoa (WiiWare)
EU: Penta Tentacles
US: Katamari Damacy
Trick! This never came to Europe. Instead the cutscenes and other bonus content was added to the EU release of We Heart Katamari, to atone for this grave sin.
US: Ninja Gaiden
EU: Shadow Warriors
US: Mr. Nutz
Trick! This never came out on Genesis, it was EU only. Because EU love their nutz.
US: Trace Memory
EU: Another Code: Two Memories [Another Code acceptable answer. And get a bonus 100 points if you can name the EU/JP only sequel for Wii without looking it up!]
US: Imagine Party Babyz
Trick! We got the same beautiful title in the EU.
EU: Sly Raccoon
US: River City Ransom
EU: Street Gangs
US: Ballz 3D: Fighting at its Ballziest
EU: Ballz 3D: The Battle of the Ballz
US: Pushmo
EU: Pushblox