Place Oreos into food processor and pulse on high until they are broken into small(ish) crumbs. Alternatively, you could place them in a large Ziplock bag and crush them with a rolling pin.
In a large bowl, combine Oreos and melted butter. Mix until crumbs are fully coated with butter.
Press crumbs into a pie dish using your hands or the bottom of a glass. Make sure to cover the bottom and up the sides.
Place your pie dish in the refrigerator while you work on the filling.
In a medium sized bowl, mix the softened cream cheese with a hand mixer until fluffy.
Add 2 TBSP milk and 1/4 cup sugar and mix well.
Fold in about 1 1/4 cups whipped topping.
Spread the mixture over the crust.
In a medium sized bowl, combine vanilla pudding mix and 3 1/4 cups of milk. Whisk until pudding starts to thicken.
Spread the pudding mix over the cream cheese layer.
Let the pie sit for at least 5 minutes so that the pudding layer can firm up a bit more.
Spread the remaining whipped topping on top.
Sprinkle with white chocolate chips and chocolate sprinkles if you desire.
Place in the refrigerator for at least 4 hours before serving.