Actually, I have the ATV3 and continually experience streaming problems. I've tried all suggested solutions and have come to the conclusion that apple tv just plain stinks and is a complete waste money. Roku is a zillion times better. Even with the old Roku, I never experience streaming problems. I'm done with Apple TV.
i still have the device on one of my tv's. it's not server issue. i've had that checked, as well. if i reboot the apple tv it will work for a little while then the same problem with streaming returns. it requires constant rebooting. the problem is with the device itself. and i am not alone, clearly, in having this problem. and you could better with a response that does not insult the consumer but rather tries to address this problem. if you don't have a solution, just say so.