Take a cable-car trip up to Monte, then come down again in one of the traditional wicker baskets.
Make a heart-thumping trip down one of the slides at the Aquaparque Madiera in Santa Cruz.
Go for a stunning walk along the island’s levadas – old water channels that follow natural contours.
Take the kids to the rockpools at Porto Moniz.
Have a dip in the seawater lidos at Funchal, where you'll also find Madeira Magic/Kids’ City, with the emphasis on science (there are a mini-planetarium and a 3-D cinema as well as a 5,000m2 garden with educational and recreational areas).
Wander around any of the island’s stunning gardens – Madeira is known as ‘the floating gardens’. Among the best are the Botanical Gardens, Jardim Orquidea and Boa Vista.
Head for the Madeira 'Theme Park' in Santana, which focuses on the history and culture of the island and has multimedia shows and rides for children.
Enjoy afternoon tea at super-child-friendly Reid’s Palace (see Best Places to Stay) for some old-fashioned British colonial splendour and tradition.
Have a day off from the kids (or just a morning or afternoon) to play golf or go blue-marlin fishing.