Have an original Apple TV that's suddenly unable to connect to the iTunes Store? You're not alone. It looks like many, many people in many, many parts of the world are suffering from exactly the same outage. There's no word yet on what caused it, though there is speculation that it might be related to a recent security update on Apple's servers, perhaps to deal with the Heartbleed OpenSSL vulnerability.
There also doesn't seem to be anything that fixes it at the moment either, which is especially frustrating for people.
Apple stopped selling the original, OS X-tiger based Apple TV in 2010 following a switch to the iOS-based Apple TV 2 and later, the 1080p Apple TV 3. Rumor has it Apple might introduced an Apple TV 4 this year, possibly with a game or app store and a new interface. None of that, of course, will help original Apple TV owners in the here and now.
If you're still using the original Apple TV and iTunes is failing to connect for you, let me know! (And let me know when/if it starts again!)