Combine the cake mix, melted butter, egg, and extracts. Beat until a soft dough forms. Add the cream cheese and beat in gently until combined. Stir in the peppermint crunch pieces and chocolate chips first. Then gently stir in the cookie pieces by hand being careful not to break up the cookie more. Refrigerate dough for at least 30 minutes.
Roll the dough into 36 balls. Bake on a cookie sheet at 350 degrees for 9 minutes. Do not over bake. The cookies will be very soft and look undone. Let them sit on the hot cookie sheet for 2 minutes, then gently remove them with a spatula to a piece of wax paper on the counter.
Very gently tap the tops of the cookies with the bottom of the spatula to even out the tops. Let them sit until completely cool. Store in a sealed container. Makes 36 cookies.
I like to use a Silpat to bake these cookies. It helps to keep them from spreading too much, but it isn't necessary.