Preheat oven to 350°F (175°C) and grease a 12-cup standard muffin tin thoroughly.
In a blender or large mixing bowl, combine eggs, melted butter, sugar, flour, coconut, milk, lemon zest, lemon juice, and vanilla extract.
Process or whisk until the mixture is completely smooth and well combined.
Pour the liquid mixture evenly into the prepared muffin cups, filling each approximately 3/4 full.
Bake for 25 to 30 minutes until the centers are set and the tops are golden brown.
Remove from the oven and allow to cool completely in the tin to ensure the layers set properly.
Run a thin knife around the edges to release the pies and serve chilled or at room temperature.