This probably has something to do with your network setup. I've been able to get the lag down sufficiently that some games are playable, though I'd never recomm

This probably has something to do with your network setup. I've been able to get the lag down sufficiently that some games are playable, though I'd never recommend playing a twitch-based FPS over Airplay. For me what really made a difference was to ensure that only the laptop was connected to my network via wifi. My Apple TV is connected using ethernet. Before I made that change, I experienced significant lag, but now the lag is perceptible but pretty low. YMMV, of course.