Preheat oven to 350 degrees F. Place a 9"x13" pan on the bottom rack of your oven and fill half way with water. Position a rack just above the pan, in the middle of the oven.
To make the crust, use a food processor to chop up the 20 Oreo cookies until they turn to a fine crumb, drizzle in the melted butter and pulse until combined. Optionally, you can use your hands or a rolling pin to crush the cookies. Press the crumbs in a 10" spring form pan in an even layer, and a little up the sides of the pan. Bake for 5 minutes, then remove from oven, set aside.
In the bowl of your stand mixer, fitted with the paddle attachment, beat the cream cheese until smooth. Add the greek yogurt, sugar and vanilla and beat until combined, scraping down the sides of bowl when necessary. Add the eggs one at a time, beating in between. Gently fold in the chopped Oreo cookies, then pour into the spring form pan. Bake for 1 hour, or until the center of the cheesecake is only slightly jiggly.
Turn the oven off, and crack the oven door open slightly, letting the cheesecake rest inside the oven for 1 to 2 hours. Let cool on counter top until room temperature, then refrigerate (covered) for 2 hours.
Run a knife along the edges of the cake to loosen from the spring form pan. Gently unlock it and clean up any rough edges before topping with the remaining chopped Oreos. Serve with a drizzle of chocolate syrup if desired. Enjoy!
I like to keep the spring form pan around the cheesecake whenever I'm not serving it, this will help protect it, and makes it easy to cover while in the fridge.