Actually, I wasn't excluding MacBooks. I use a Mac notebook and I leave the computer on all the time on AC. I use it for hours every day, and have for about 8 years and I replaced the battery for the first time last year after >400 battery cycles.I can't believe there have been 23 responses and no one has mentioned the obvious. Laptops....
BUT my only computer is a Macbook and I do NOT want to keep it open and plugged in at all times because that supposedly reduces battery life. I always close my macbook when not using it. It would be pretty inconvenient for me to need to go open my macbook, then launch iTunes anytime I wanted to use my Apple TV... just saying...
You have a couple obvious choices, if you believe that running on AC hurts battery life.
One is to use clamshell mode and wake on LAN. It will wake, run for a short while to let you search your library and transfer a video, then go back to sleep.
Another, assuming you would normally only use the aTV the few hours a day that you are not sleeping or working, is to set automatic on and off times so that the computer is only running a few hours a day. Chances are that's only a few hours a day and you'll be using your computer for some of that time anyway.