Okay, Cape Town may not be Paris or Rome but there's still plenty to get your grey matter buzzing.
Try the city museums: the South African Museum and National Art Gallery in the Company's Garden; the centrally-based Slave Lodge, Gold of Africa Museum and nearby Jewish Museum.
If you are prepared to brave the weather, the museums are all based in the city and easily reached on foot - entrance fees are pretty minimal, too.
An excellent and informative planetarium offering talks and shows for kids and adults is situated next to the SA Museum.
South African Museum: 25 Queen Victoria Street, Gardens, Cape Town.
Tel: +27 (0)21 481 3800
National Art Gallery: Government Avenue, Company's Garden, Cape Town.
Tel: +27 (0)21 467 4660
Slave Lodge: Corner of Adderley and Wale streets, Cape Town.
Tel: +27 (0)21 460 8242
Gold of Africa Museum: Corner of Buitengracht and Strand streets, Cape Town.
Tel: +27 (0)21 405 1540
Cape Town Holocaust Centre: 88 Hatfield Street, Cape Town.
Tel: +27 (0)21 462 5553
Planetarium: 25 Queen Victoria Street, Cape Town.
Tel: +27 (0)21 481 3900
Have a look at our Cape Town Art and Culture page for more ideas.
Warm up the credit card – chances are that you'll find Cape Town's prices to your liking. There are some serious malls here: the V&A Waterfront is the most obvious and a family favourite with its cinemas, covered markets, kiddies' activities and soothing views.
If that's not enough, head for the über-malls of Canal Walk (the biggest in Africa) and Cavendish Square, a city block monster in the southern suburbs.
The V&A Waterfront is right in town but you'll have to get transport out to Canal Walk and Cavendish Square. Most hotels have a shuttle service and the big ones will take you around town for free. Taxis are another way to do it – ask around for a rough idea of the fare - but avoid public transport: it's not the greatest.
Have a look at our comprehensive Cape Town Shopping page for more ideas.
Sitting quietly at the Waterfront is one of Cape Town's gems: the 2 Oceans Aquarium.
Bursting at the seams with exhibits, shows and interactive displays, the aquarium takes you on a magical tour climaxing with the famous predator tank, home to all sorts of sharp-toothed hunters including big sharks.
For the adrenaline junkie, you can even scuba dive with them. Dinner, anyone?
The 2 Oceans Aquarium:
Tel: + 27 (0)21 418 3823