This is for getting all the trophies for the bonus missions in adventure mode. You must complete the Easy and Medium Treks for Whitetail, the Easy Trek for the Elk, and part of the Medium Elk Trek in order to unlock all the Bonus Games.
In order to get double perfection on a bonus game you must hit every target without missing a shot. All the games are pretty easy WITH practice.
Also it should be noted that the Classic Versions of the bonus games DO NOT count towards this achievement.
The other thing to note is that the targets on the barrel mini game is slightly glitched because the video playing on the "click to start" screen will "bleed" over into the actual mini game itself and can cause you to miss a shot because you'll shoot at a target that show's up, but isn't actually there. So wait about 5 seconds before starting this one.