COMBINE 1 cup crushed gingersnaps and butter in small bowl. Press mixture lightly onto bottom of 8-inch-square baking dish.
BEAT cream cheese, peanut butter and powdered sugar in medium mixer bowl until well blended. Stir half of whipped topping into mixture. Spread over gingersnap crust. Sprinkle with ¾ cup of DelightFulls morsels.
WHISK milk and pudding mix for 2 minutes in medium bowl. Fold in remaining whipped topping. Spread mixture over peanut butter layer and DelightFulls morsels. Sprinkle with coarsely chopped gingersnap cookies and remaining ¾ cup DelightFulls morsels. Cover loosely with plastic wrap.
REFRIGERATE for at least 2 hours before serving. Best when served within 1 day.