Pineapple, orange & raspberry flavored sherbet. More flavors. More fun. May contain real pulp pieces. Since Baskin-Robbins opened its first ice cream shop in 1945, it has become an American favorite. Now, you can enjoy the fun and great flavors of Baskin-Robbins at home anytime. Rainbow Sherbet: Pineapple, orange and raspberry flavored sherbets battle for your taste bud love in this trifecta of fruit flavored sherbets.