Yes, they do. It was actually the first Madden game released on XBOX 360 (and Sony PSP as well). It is called Madden NFL 06 and was released on August 8, 2005.
Yes, Madden 06 is on the X-Box 360. Madden 06 on the 360 is very tight and goes well with the controller. The hit are big and the passing and running are crisp and tight.
