Prepare Pudding: In a small mixing bowl, combine chocolate pudding mix, Baileys Irish Cream, and milk. Whisk for 2 minutes; let stand for 5 minutes to set.
Make Whipped Topping: In a separate mixing bowl, combine whipped topping and Creme de Menthe.
Assemble Parfaits: Drizzle hot fudge inside parfait dishes. Spoon the pudding mixture and whipped topping mixture into separate piping bags or Ziplock bags; cut off the tip of each bag. Pipe into parfait dishes, alternating between pudding mixture, whipped topping mixture, and crushed Oreos.