Heat oven to 350 degrees F. Coat cookie sheets with cooking spray.
In a medium mixing bowl, sift together flour, cornstarch, baking powder and salt. In a large mixing bowl, using a mixer on medium speed, beat cream cheese until softened. Beat in butter until creamy. Beat in sugar until well combined. Beat in egg, vanilla and almond extract until combined. Reduce mixer speed to low and gradually beat in flour mixture until just combined; stir in Oreos until combined.
Chill cookie dough in the freezer or refrigerator until cold. Place rounded tablespoons of dough onto cookie sheets. Bake 12 minutes or until puffed and light golden brown around edges.
Remove pans from oven; press a kiss in the center of each cookie. Transfer cookies to wire racks to cool.