A bowl assembly for a base driven appliance, the base driven appliance providing a primary drive coupling for the accessory assembly. The accessory assembly including: a bowl element that defines a reservoir; and a gear-box element having a secondary drive coupling and a secondary driven coupling. The bowl element defines a lower recess that removably receives the gear-box element, such that the primary drive coupling can engage the secondary driven coupling when the bowl assembly is supported by the base driven appliance. The secondary driven coupling is couplable to an accessory element that is operated within the reservoir, and such that the accessory element is operable by rotation of the primary drive coupling.