I bought an Xbox360 a year ago and love it. Only had one problem with the rings of death, but I got the extended warranty so they sent me a brand new one and have not had a problem yet....*knock-on-wood*
My buddy got a Wii and it is fun to play when you have a group of friends hanging out. I say it all goes with what you are looking to play. If you want a gaming console you can have friends come over and have fun playing then I say go with the Wii. If you want straight up gaming then go with Xbox360. Oh and be sure to get the Xbox Live subscription, major fun!!