In a small bowl, whisk together the flour, sugar, baking powder, and salt.
Stir in the milk, vanilla extract, and melted butter until just combined.
Spoon the biscuit mixture evenly over the peach mixture in each ramekin, spreading slightly.
Sprinkle some turbinado sugar on top for a crispy finish. This is optional but gives it a great crunch.
Place the ramekins on a baking sheet. Bake at 350 degrees for 25–30 minutes, or until the topping is golden brown and the peach filling is bubbling around the edges.
Allow the cobblers to cool for about 5–10 minutes before serving. Serve warm with a scoop of vanilla ice cream or some whipped cream, if desired. Enjoy!