Heat oven to 350°F. Spray 13x9-inch pan with cooking spray. Break up peanut butter cookie dough into pan. Press dough evenly in bottom of pan to form crust.
In small bowl with electric mixer, beat cream cheese and sugar on medium speed until blended. Add eggs, one at a time, beating after each addition until smooth. Stir in vanilla. Pour mixture over cookie crust in pan. Break chocolate chip cookie dough into small pieces; evenly drop pieces over cream cheese mixture.
Bake 40 to 45 minutes or until top is lightly browned and cheesecake is set. Cool 30 minutes. Refrigerate about 2 hours or until chilled. For bars, cut into 6 rows by 6 rows.