Preheat the oven to 350°F.
Melt a stick of butter in a 9x13 dish, in the oven.
Mix flour, sugar, milk, and vanilla together, and pour over melted butter. Do not stir.
Spoon peaches over mixture. Do not stir.
Cook at 350°F until brown and bubbly, about 40 minutes.
For perfection in a bowl, serve Jeni's Vanilla Bean Ice Cream on top.
