Start by crushing Oreo cookies into fine crumbs using a food processor. Mix the crumbs with melted butter until well combined, then press the mixture firmly into a 9x13-inch dish. Chill it in the refrigerator for about 5 minutes to set.

In a mixing bowl, whip softened cream cheese, granulated sugar, and cold milk together until smooth and creamy. Gently fold in Cool Whip for a light texture. Spread this mixture evenly over the chilled crust, then refrigerate for an additional 5-10 minutes to let it firm up.

Whisk together the instant chocolate pudding mix and cold milk in a bowl until thickened, which should take about 2 minutes. Once ready, spread this delicious pudding mixture over the cream cheese layer, then chill again for 5-10 minutes.

Top your dessert with the remaining Cool Whip, spreading it evenly. Finally, garnish with chocolate shavings and crushed Oreos for a delightful finish. Make sure to refrigerate the entire dessert for at least 2-3 hours to allow all layers to set beautifully.