care for another (something)
Would you like another drink or food item? I see that you're almost done your drink—care for another? Would you care for another cupcake? I'm going to back to the dessert table.
(Would you) care for another (one)?
Do you want another drink or serving? Tom stood there with an almost empty glass. Bill said, "Would you care for another one?" Waiter: Care for another one, madam? Sue: No, thank you.