So like above I just got a Apple TV 3 and I have a video stutter when use airplay mirroring on my MacBook Pro when I'm playing mirroring movies.
About my setup, I have a pre HD 42inch plasma which unfortunately not going to change for a while as the tv cabling and home cinema all are channeled and run inside the walls.
So I bought a HDMI to Scart digital converter which didn't know existed until a few days ago, plugged Apple TV by HDMI to the converter and Scart from the converter to the tv. Worked absolutely fine playing music and YouTube videos from my iPhone to the tv. Yet when I try to use mirroring from my mac it began to stutter and lag.
At first I assumed it must be the HDMI to Scart converter, so to test this removed Apple TV and plugged a HDMI cable from my mac (using the mini HDMI adapter for mac) into the converter and left the Scart from the converter to tv. The tv again mirrors the mac but this time no stutter on the screen.
Next step I think it may be my wifi, but currently have sky fibre and they give you the standard n wireless router from them, so I've ordered a Asus RT-AC66U which is the fastest router you can get (needed it for other things as well) which is dual band and supports 450mbps on 2.4ghz and 1300mbps on 5ghz which is used for HD streaming and Apple TV and the like.
Getting it tomorrow, hopefully if they deliver in the snow, and we'll see how it goes. But for all you people without hd tvs, if you can't change like me because everything built in, you can still get a HDMI to Scart converter, which is useful.