POUR milk into large bowl. Add dry pudding mixes. Beat with wire whisk 2 minutes or until well blended. Let stand 5 minutes.
PLACE chopped cookies in bottom of 2-quart serving bowl. Add layers of half each of the banana slices and pudding. Repeat layers of banana slices and pudding. Cover with whipped topping.
REFRIGERATE 3 hours or until ready to serve. Store leftover pudding in refrigerator.