Wander historic laneways, weekend markets (if open), and visit the MCA for contemporary Australian and international art; MCA hours typically 10am–5pm.
Ride the Scenic Railway and Skyway for dramatic valley views; Scenic World generally opens from 9:00am but check exact times and book attractions in peak season.
Visit dramatic rock pools (Figure Eight Pools require careful tide/time planning) or enjoy the safe swimming and picnic areas at Wattamolla; check tide and track closure notices before visiting.
Choose the Australian Museum for natural history or the Powerhouse for science/design exhibitions; both typically open ~10am (check exact hours and special-exhibit fees).
Get 360° views of the city from Sydney Tower Eye; Skywalk on the external platform is an added experience and requires booking, tower open daily but hours vary.