Preheat the oven to 350F then line a baking sheet with parchment paper and set aside.
In a large bowl cream the butter, brown sugar, and granulated sugar together until light and fluffy. Add in the softened cream cheese and vanilla extract and mix to combine.
Fold in the flour, baking soda, cornstarch, and salt just until the flour mixture disappears. Mix in the semi-sweet chocolate chips and the mini chocolate chips until incorporated.
Scoop these cookies with a large cookie scooper, place on the baking sheet, and bake in the oven for 10 minutes. Before pulling the pan out of the oven lift the baking sheet about 3-4 inches off the rack and gently drop it, this will allow the cookies to thin out just enough to give us that perfect chocoalte chip cookie.
Let the cookies cool down on the baking sheet (outside of the oven) for 20 minutes before transferring them to a cooling rack.