Well I spent most of the night trying to get Everyplay integrated. I really think that being able to share replays of your runs will be a cool feature. Unlike simply tweeting a high score, or Facebook-sharing a screenshot of the Game Over screen, a video replay actually shows 'how' you got that awesome achievement/score/unlock etc.
Initially, Everyplay integrated very simply into my game. It already has a Unity SDK, and all I had to do was call StartRecording() and StopRecordoing() at the approriate time in my game. I then automatically popped up a sharing dialog, and what do you know, it worked! Here is the first video ever recorded of my game with EveryPlay!
The integration got a little confusing when I tried to use the Thumbnail feature of Everyplay to take a still image of the last frame of the game to put on the GameOver screen. Long story short, it works once, but I'm not re-initializing or cleaning up something properly, because every time after the first, it blows up with a NullReference. Oh well. Win some, lose some.
(Since Everyplay is only available on Android/iOS, this is a screenshot of my game taking a screenshot of my game. Screenshotception!)