Place the 22 birthday cake Oreo cookies in a food processor and process until they form fine crumbs.
In a medium bowl, combine the cookie crumbs with the 4 tablespoons melted butter and stir until evenly moistened. Press the mixture firmly and evenly into the bottom of an 11×7-inch pan or a 9-inch square pan. Set aside.
In a large bowl, whisk together the 1 (3.4-ounce) box vanilla instant pudding mix and the 1/3 cup dry Funfetti cake mix. Whisk in the 1 cup milk for about 1 minute, or until the mixture begins to thicken.
Fold half of the 1 (16-ounce) Cool Whip (reserve the remaining half for the topping) and the 1/3 cup sprinkles into the pudding mixture until evenly combined.
Pour or spread the pudding mixture over the prepared crust in the pan, smoothing the top. Cover the pan with plastic wrap and refrigerate for at least 4 to 6 hours or overnight, until set.
Just before serving, spread the remaining Cool Whip over the chilled dessert and sprinkle with additional sprinkles as desired. Slice and serve.