Preheat the oven to 275 degrees F (135 degrees C). Line a 12-cup muffin tin with paper liners; place 1 cookie into each.

Beat cream cheese in a medium bowl with an electric mixer until creamy. Gradually add eggs, sour cream, sugar, and vanilla extract, beating well after each addition. Stir in chopped cookies with a spatula.

Spoon batter into the prepared tin, filling each cup almost to the top.

Bake in the preheated oven until set, 20 to 22 minutes. Transfer cups to a cooling rack. Refrigerate until firm, at least 4 hours.