You can get a crash dump, memory dump, or dump the nand for the device, but then the issue there would be figuring out where to start. For instance with the x360, a good place to start would be xboxkrnl.exe or xam.xex. xboxkrnl.exe is obvious what it does, but xam.xex is like a mega library of functions for the xbox 360. If you're using a disassembler like IDA, you can find out imports, and work your way backward to the system files from a games executable.