Up Table Mountain — The Table Mountain Aerial Cableway runs from the lower station on Tafelberg Road to the summit in under five minutes, in cars whose floors rotate so everyone gets the full view. On top, short paths cross the flat plateau to lookouts over the city, Robben Island and the Atlantic. Fit walkers can hike up instead (Platteklip Gorge is the most direct route, steep and unshaded) and ride down. The cableway closes in bad weather, and tickets bought online are cheaper and valid for seven days, so we go on the first clear morning rather than saving it for the last day.
Robben Island and the city's history — Ferries leave the Nelson Mandela Gateway at the V&A Waterfront for Robben Island, where Nelson Mandela spent 18 of his 27 years in prison, a UNESCO World Heritage Site since 1999. The standard tour takes about three and a half hours including the crossings and runs weather permitting. Back on the mainland, the District Six Museum on Buitenkant Street tells the story of a neighbourhood declared white under the Group Areas Act in 1966, whose 60,000-plus residents were removed and their homes bulldozed. For us these are the most important hours of any visit.
The Waterfront and its museums — The V&A Waterfront packs a lot into a short walk. Zeitz MOCAA, in a converted grain silo in the Silo District, is a large museum of contemporary African art; the Two Oceans Aquarium, on Dock Road, has a kelp forest exhibit and a 1.6-million-litre ocean exhibit with rays and rescued turtles. The quays are still a working harbour.
Down the peninsula to the penguins — The classic day out: over Chapman's Peak Drive, a toll road cut into the cliffs above the Atlantic, then down to Cape Point and the Cape of Good Hope inside Table Mountain National Park, where the Flying Dutchman funicular climbs to the old lighthouse. We come back up the False Bay side via Boulders near Simon's Town, where SANParks boardwalks lead to the African penguin colony at Foxy Beach, and stop in Kalk Bay for fish and chips by the harbour. The baboons on the peninsula can be aggressive: SANParks asks that nobody feeds them.
Gardens and vineyards in the southern suburbs — Kirstenbosch National Botanical Garden sits on the eastern slopes of Table Mountain, planted with South African species and crossed by the raised Tree Canopy Walkway, the 'Boomslang'. A short drive further, Groot Constantia dates its wine-making to a land grant of 1685 and calls itself South Africa's oldest wine-producing farm: a wine tasting without leaving the city.
Into the Winelands — Stellenbosch and Franschhoek make easy day trips. Stellenbosch Wine Routes lists hop-on hop-off wine tours from the town, and the Franschhoek Wine Tram loops through the valley between estates (the valley's tourism association advises booking ahead).