Peel, core, and cut 3 Granny Smith apples into thin slices.
Preheat oven to 425°F. Line a cookie sheet with parchment paper and lightly spray with non-stick cooking spray.
Roll out 1 uncooked pie crust to a 13″ circle on the prepared cookie sheet.
In a large bowl, gently toss together apples, ⅓ cup sugar, 1 tablespoon flour, 2 teaspoons lemon juice, 1 teaspoon vanilla extract, ¼ teaspoon salt, and ¼ teaspoon cinnamon.
Pile apple mixture in center of pie crust, leaving a border of at least 3". Fold up edges of dough toward center so that dough partially covers apples and press folds gently together to seal.
Lightly beat 1 egg white. In a small bowl, combine 1 teaspoon water and egg white and brush egg mixture on edges of dough. Sprinkle with 1 tablespoon turbinado or granulated sugar and bake for 25 minutes or until crust turns a golden brown.
Drizzle with ⅓ cup caramel topping, and serve warm.