One of the keys to success with Apple TV is to have good WiFi service. If you have slow WiFi then you will have problems with lag when projecting video and games from your iPad's screen to your TV's screen wirelessly.
I have decent speed and no such issue. The only thing that I feel that Android tablets do better (in my opinion) is that they automatically fill the screen of your TV perfectly since there are in wide screen format whereas the iPad being 4X3 will leave a good chunk of your screen blank on both sides. Yes you can zoom but you'll be losing some quality and or picture off the top of the screen. This does not happen with videos as they play perfectly.
The only fix for this is an app in the jailbreak community which works wonders and allows for all your games, internet, or whatever else you desire to put on the big screen to fit perfectly as well.