As I just wrote in a post under the previous poster's one, you can use a Mini-PC with a low-power processor like the N100 and a wireless remote and it will definitelly not look or sound like a "big loud box" (not least because the fan almost never goes on and when it goes it's quiet - it turns out that even an N100 is overpowered for just working as a TV box so CPU usage is almost always below 10%).

Further, you can put Linux in it and then manage it remotelly via SSH, so after setting it up you don't need a keyboard or mouse connected to it.

The end result is something that doesn't at all look like a PC and which, thanks to the remote, you use just like a dedicated TV box.

Hardward for reference: Mini-PC, Remote

PS: That PC is a lot more expensive now than when I bought it 2 years ago.