STIR boiling water into dry gelatin mix in medium bowl at least 2 min. until completely dissolved. Add ice; stir until gelatin is slightly thickened. Remove any unmelted ice.
PLACE brownie cubes in 2-1/2-qt. serving bowl; cover with gelatin. Refrigerate 45 min. or until gelatin is set but not firm (gelatin should stick to finger when touched).
POUR milk into separate medium bowl. Add dry pudding mixes. Beat with wire whisk 2 min. or until well blended; spoon over ingredients in serving bowl. Top with layers of raspberries and the whipped topping. Refrigerate at least 2 hours or until ready to serve. Store leftover dessert in refrigerator.