Unfortunately, No.
Here is a list of all Original Xbox games playable on the Xbox 360.
http://www.xbox.com/en-US/games/backwardcompatibilitygameslist.htm
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there is a sims 2 bustin out i have it at home unfortunatly you can not get it on xbox 360 but you can get it on: computer, playstation 2, and the xbox not the xbox 360
Yes
No
you can get your xbox 360 ac adapter to work with your xbox 360
No, only Xbox 360 games work on Xbox 360.