01 - Set the oven temperature to 350°F (180°C).
02 - In a large bowl, gently toss berries with sugar, cornstarch, lemon juice, and vanilla extract until evenly coated. Spread the mixture evenly in a 8x12 inch baking dish.
03 - Combine flour, oats, brown sugar, cinnamon, and salt in a separate bowl. Rub in the cold butter with fingertips until the mixture resembles coarse crumbs.
04 - Evenly distribute the crumble topping over the berry mixture in the baking dish.
05 - Place the dish in the oven and bake for 35 minutes until the topping is golden and the filling is bubbling.
06 - In a saucepan, warm the milk and cream together until steaming but not boiling.
07 - In a bowl, whisk egg yolks, sugar, vanilla extract, and cornstarch together until smooth.
08 - Gradually whisk the hot milk mixture into the egg mixture to temper the eggs.
09 - Return the combined mixture to the saucepan and cook over medium-low heat, stirring constantly, until thickened (approximately 5 minutes); avoid boiling.
10 - Remove from heat and strain the custard through a fine sieve into a jug.
11 - Serve the warm berry crumble with generous portions of custard poured over.