Preheat oven to 350°. In a large bowl, finely crush 24 of the cookies; stir in melted butter. Press onto the bottom of an ungreased 9-in. square baking pan. Bake until lightly browned, about 10 minutes. Cool completely.
In a small bowl, whisk pudding mix and milk until smooth; spread over cooled crust. In another small bowl, beat cream cheese, powdered sugar and peanut butter. Fold in 1 cup whipped topping. Spoon cream cheese mixture over pudding; gently spread to cover pudding. Spread remaining whipped topping over cream cheese layer. Cover and refrigerate for at least 2 hours.
Coarsely crush remaining 8 cookies. Sprinkle crushed cookies and chips over whipped topping before serving.