This is "Arcade Game Box", model no. Nj-3802. While it may look like an unholy union of an Xbox 360 console and PlayStation 3 controllers, the truth is even stranger.
You see, being a Chinese knock-off, this isn't actually capable of playing Xbox 360 games. Or PlayStation games.
What it can do is play... Game Boy games. And Neo Geo games. Capcom Play System 1 (CPS1) and CPS2 games. And "many arcade games", no doubt through some fancy emulation via PC hardware, which also accounts for the "console's" ability to serve as a media centre.
While the rip-off 360 hardware is too small to pass for the real thing, those lured by the novelty of it all can grab one for $US70.