Preheat oven to 275 degrees F /135 degrees C / Gas 1. Line standard muffin pans with liners. Place 1 whole cookie in the bottom of each liner.
Beat cream cheese at medium speed using an electric mixer. Gradually add the sugar, beating until combined. Beat in vanilla.Drizzle in eggs, a bit at a time. Beat in sour cream and salt. Stir in chopped cookies by hand.
Divide batter evenly among cookie-lined cups, filling each almost to the top.
Bake, rotating pan halfway through, until filling is set, about 22 minutes. Transfer to wire racks to cool completely. Refrigerate at least 4 hours (or up to overnight). Remove from tins just before serving. Best served really cold! You can garnish with fresh whipped cream and crumbled Oreos if desired!