Mix 1 1/2 cups of cracker crumbs and butter together and press into the bottom of a glass or foil pan. Reserve remaining 1 cup of crumbs for topping.
Mix milk and pudding mixes together in a large bowl. Mix in softened ice cream. Pour over crust, top with whipped topping and reserved cracker crumbs. Cover and freeze, at least 2 hours.
Remove from the freezer and allow to thaw. Cut into 24 pieces.