Red Squirrel
No Lifer
Raspberry Pi. Basically a computer but really cheap. They don't use much power so they can just go on the same UPS as the TV and should run for quite a while if power goes out.
Intel will be releasing a Compute Stick which can be had with either Windows 8.1 or Linux on it, though the Linux version will still be $90, so might be pricey (and no telling when it will actually be available for purchase).
We can use 1 computer to run them all if there's a way to do that over the network for displays spread around a building. What can do that?