Preheat oven to 375°F (190°C) and place the frozen pie shell on a lined baking sheet.
Combine frozen apple cubes, brown sugar, granulated sugar, flour, corn starch, cinnamon, nutmeg, lemon juice, and vanilla, in a large bowl. Toss until evenly coated.
Transfer the apple mixture into the frozen pie shell and spread evenly. Lightly press down on the filling to help compact it inside the pie shell.
Mix flour, brown sugar, cinnamon, and salt in a bowl. Cut in the cold butter until the mixture forms coarse crumbs. Sprinkle the crumble evenly over the apples.
Loosely tent the pie with foil (do not press it down onto the topping).Bake for 35 minutes to allow the apples to soften and release their juices without over-browning the crumble. Remove the foil and continue baking for 15–25 minutes, until the topping is golden and the filling is bubbling in the center.
Let the pie cool 30–45 minutes before slicing so the filling thickens properly.