Original Xbox was pretty good and was pretty much the most advanced console of it's time, but I would have to side with Xbox 360 due a great controller design and pretty great titles.
I own both and both are set up, but I play my 360 more, we also have the kinect but if I wanted to get up and wiggle around to play a game I wouldn't be playing video games. LOL
The Kinect is ONLY good for the dance games. It actually ruined the Fable series, with the latest and horrible Kinect only game.
Unfortunately the 360 will be phased out soon for the incredibly horrible xboxone, which I will stay away from like the plague.
My original xBox still functions, and its still my favourite compared to the 360. I think I just prefer simply putting the disk in and playing my game, rather than having to go through menus and blah blah blah. I prefer the games on the xBox too - classics, like Star Wars Knights of the Old Republic.