A new and distinct cultivar of Osteospermum plant named 'Sunny Elizabeth', characterized by its large upright purple inflorescences; ray floret colors: rays have stripes of RHS 155A, white, and RHS 68A red-purple, with base and tip RHS 67A; dense and bushy plant form, mainly due to upright and strong stems, and compact plant habit; and moderately vigorous growth habit, but less need for chemical growth retardation.