It's some strange variant of this http://www.slipperybrick.com/2009/01/famicombox-an-nes-with-15-cartridges-built-in/ probably transitional between the famicon and nes.. possibly to use up surplus hardware.. or a working production mockup.. something like that anyway... if it isn't a total pirate thing. If the controller doesn't unplug then theres a chance it's a Dendy Russian thing/fake/clone whatever. I can't find it on any lists so it's probably pretty rare.. shame it's so beat up.. I guess there aren't any meaningful stickers or numbers anywhere on it?
http://en.wikipedia.org/wiki/Nintendo_Entertainment_System_hardware_clone http://www.gamersgraveyard.com/repository/nes/pirate/