TY the Tasmanian Tiger

To catch a turkey, you have to first find a Turkey Chase mini-game mission within one of the levels. I believe the first one appears late into the Zone A levels. Once you find the minigame (it will look like a hole in the ground with a big exclamation mark over it), enter it via the prompt. The mission here is to chase down a turkey and chomp it to catch it. Simply just run through the level, making sure you don't stop, and you should be able t oeasily catch up to the turkey and chomp it for the achievement.