My kids have been exposed to all three systems at their dad's house since he is an avid gamer. When I decided to get them a system at our house, all they could talk about was the wii. I asked my 8 year old son why he likes it more than the xbox or playstation, and he said "because its easy and the games are super fun".Â
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I'm not really familiar with the games on the other systems, but the wii comes with an interactive sports game that actually requires you to move your arm in the motion you want on the screen. It's almost like acting it out. My son loves the Lego games like Lego Indiana Jones, Lego Batman, and Lego Star Wars.   However, the Lego games are made for the other systems as well. My 10 year old daughter likes the Littlest Pet Shop and Zhu zhu pet games, which are available only on the wii.
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I bought our wii a few months ago, at the time it was the least expensive gaming system (I think it still is). I'm not really worried about when they outgrow the wii.  It will probably wear out before that happens.