Generously grease and lightly flour a 10-inch tube or Bundt pan. In large mixer bowl, add eggs to cream cheese one at a time, beat until smooth. Add dry cake mix and milk. Blend until moistened, then beat as directed on package.
Divide batter into thirds. Add strawberry flavoring to one of the thirds, chocolate to another and add the vanilla to the last third. Pour vanilla batter into prepared pan, then pour strawberry over the vanilla, then add the chocolate over the strawberry.
Bake at 350 degrees for 45 to 55 mins or until a toothpick inserted in the center comes out clean. Cool upright in pan 15 mins; remove from pan. Cool completely and glaze or sprinkle with powdered sugar.