Preheat oven to 350 degrees.
In a large bowl combine cake mix, egg, vanilla, and cream cheese using an electric hand mixer until dough is formed.
Add in both white and chocolate chips and broken oreos by hand until well combined.
Form 1 inch balls or use a 1 inch scoop to place onto balls of dough onto a greased sheet pan or use parchment paper. Space dough balls about 2 inches apart. (These cookies can be rounded or flat) To flatten the dough use a piece of parchment paper and lay across the dough and flatten using the bottom edge of a glass.
Bake in preheated oven for 10-12 minutes until lightly browned at the edges.
Allow cookies to cool for a few minutes on the sheet pan. Then move cookies to a cooling rack to completely cool.