In a mixing bowl, beat cream cheese, butter, and vanilla extract until fluffy.
Gradually mix in the powdered sugar and brown sugar.
Stir in 3/4 cup of the mini chocolate chips.
Cover mixture with plastic wrap and refrigerate for 2 hours.
Place mixture on a large piece of plastic wrap. Shape it into a ball and wrap with plastic. Refrigerate for at least 1 hour.
Place remaining 1/4 cup miniature chocolate chips and the 1/2 cup regular-sized chocolate chips on a plate. Roll cheese ball in them until fully covered. Serve with graham crackers.