Preheat oven to 425°F (220°C) and line a baking sheet with parchment paper.
Melt butter over medium heat until lightly browned, then remove from heat.
In a bowl, whisk flour and sugar. Add milk, cream, and browned butter. Mix until just combined.
Turn dough onto a floured surface and shape into a 1-inch thick rectangle. Cut into portions.
Place on baking sheet, brush with cream, and sprinkle with sugar.
Bake for 15–18 minutes until golden. Cool completely.
Toss strawberries with sugar and refrigerate for about 1 hour until juicy.
Whip cream with sugar and vanilla until soft peaks form.
Slice shortcakes in half. Layer with strawberries and juice, then top with whipped cream.
Assemble and serve immediately. This Classic Strawberry Shortcake Recipe is best enjoyed fresh.