Set aside 1 cup cookie crumbs for topping. In a small bowl, combine remaining cookie crumbs and butter. Press into a greased 13x9-in. dish. In a large bowl, beat cream cheese and confectioners' sugar until smooth. Fold in 1-1/2 cups whipped topping. Spread over crust.
In a small bowl, whisk milk and pudding mix for 2 minutes; let stand for 2 minutes or until soft-set. Spoon over cream cheese layer. Top with remaining whipped topping. Sprinkle with reserved crumbs. Cover and refrigerate for at least 2 hours.