1. Pour heavy whipping cream, sugar and vanilla into a medium bowl and whisk on high speed until medium to stiff peaks form. Set aside.
2. In a large bowl, whisk milk, vanilla and pudding mix for 2 minutes (mixture will be thick). Fold in 3 cups of your whipping cream.
3. Pour 1-1/3 cups of pudding mixture into pie crust. Layer with banana slices and remaining pudding mixture. Top with remaining whipped topping and garnish with additional banana slices if desired. Refrigerate until serving.