Turn on Apple TV, click through to Netflix, find what you want to watch, press play and -- "Sorry we could not reach the Netflix service. Please try again later. If the problem persists please visit the Netflix website. (112)" I've had this problem consistently lately and the weird part is Netflix on my iPhone and iPad -- on the same Wi-Fi network! -- work fine. It's only Apple TV that has the problem.
In my case I couldn't watch anything. A simple power cycle fixed it but some of the folks we've heard from still suffer the bug intermittently no matter what they do. Have you had Netflix refuse to perform on your Apple TV? Let us know what happened, and what if any fixes have worked for you.