Combine yogurt, honey and vanilla extract in a medium bowl.
Freeze for 1 hour.
Place frozen peaches in food processor or blender and blend until they reach very small chunks.
Add frozen yogurt to the food processor or blender with the peaches.
Pulse a few times more times until mixture is incorporated.
Transfer back to a medium bowl and refreeze for another 1-2 hours depending how hard or soft you want your frozen yogurt. Enjoy an easy, guilt-free treat!