Add the plain Greek yogurt, frozen diced mango, honey, and lime juice to your food processor. Make sure the fruit is evenly distributed for smooth blending.
Blend all the ingredients until a thick frozen yogurt consistency is reached. If the mixture sticks to the sides of the food processor, stop and scrape down the bowl, or use the mixing attachment if available. Taste and adjust with a little more honey or lime juice if you like it sweeter or tangier—sometimes I like to add an extra drizzle of honey for a richer flavor.
Transfer the blended frozen yogurt mixture to a loaf pan and smooth the top using a spatula or the back of a spoon. Freeze for 3–4 hours or until the yogurt has firmed up to your liking. Scoop and enjoy! If you prefer a soft-serve consistency, you can enjoy it right after blending.