I guess it depends on the types of games you like. I love games like mario bros & link and all that so I like the wii. But if you want to interact with friends, get the xbox 360. My brother would not be as obsessed with his if it weren't for xbox live. Games that are popular for xbox live are like either sports type games (like football or basket ball) and then all the shooting games like COD and assassin's creed.
It depends on what kind of games you like. If you like games where you blow stuff up get an Xbox but if you want to play games with other people or Mario games get a wii. I prefer the wii because I think it has better games. Don't get Xbox connect though because I have it and it doesn't work as well as you would think it does.