Using a mixer, beat cream cheese on medium until smooth and creamy. Add in sugar and mix until creamy and the sugar has dissolved. Add in eggs, one at a time, mixing after each addition. Add in vanilla and sour cream, and mixed until just combined.
Coarsely chop your remaining Oreo cookies, then over a bowl or sink place your chopped cookies into your mesh strainer to allow the fine crumbs to separate out. Gently stir the chopped Oreos into your cheesecake mixture. Pour mixture over your crust and bake for approximately 40-50 minutes. The center does not need to be firm, but should be setting up and the edges browning.
Allow to cool on a wire rack for 2-3 hours. Store covered in the fridge and serve cold.