I got The Godfather: Blackhand Edition for the Wii for my birthday, and I'm totally hooked - and, after borrowing the game for a day, so is my best friend: he ran out and bought his own copy, after holding mine hostage for a few days. It's all the best qualities of Monopoly and Grand Theft Auto, set in the The Godfather, with the Wii controls allowing you to literally beat the pulp out of business owners with a baseball bat while extorting them for cash, and physically tossing people over balconies for bonus points.
Yes, it's that kind of game. Yes, it's not for kids. Yes, it's on the Wii. And yes, it's damned addictive.
The game smoothly mixes a wide array of sandboxing opportunities, including extorting businesses, setting off mob wars, robbing banks, taking on hit contracts, and so on, with a deep plotline that follows the story of the films. You start as a young gangster on hard times, dealing with a bad crowd. Luca Brasi comes to your aid, and initiates you into the Corleone family with a few tutorial missions. Then, it's up to you to take on any of the many "business opportunities" throughout the city, or continue to advance the main plot. The game lets you delay the main plot as long as you want between missions, letting you set the pace the entire time.
The graphics aren't stunning, but they definitely get the job done. It's enough for suspension of disbelief, particularly for fans of the films. Having not seen them for many many years, playing the game now makes me want to watch the movies again - and then play the game again from the beginning.
All in all, I'd give it a solid 8/10, and a definite recommendation to anyone that enjoys a little digital bloodshed in the morning.