Intraocular lenses include a lens body sized and adapted for placement in a mammalian eye and having a plurality of different optical powers, and a movement assembly joined to the lens body and adapted to cooperate with the mammalian eye to effect accommodating movement of the lens body in the eye. The lens body has an azonal, aspheric surface, with the correction power of the lens varying continuously and progressively from the optical axis to the periphery of the lens. Such intraocular lenses provide enhanced accommodation relative to the accommodation attainable using a spheric, monofocal IOL adapted for accommodating movement or an aspheric accommodating lens located in a substantially fixed position in an eye.