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 PS3 games.
What it can do is play...Game Boy games. And Neo Geo games.
And PS1 games, and (supposedly) PS2 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 $70.