Take a cable-car trip up to Monte, then come down again in one of the traditional wicker toboggans.
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.
Hire mountain bikes and join up with a guide to explore the island's many trails.
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).
Explore the dramatic coastline with a sea kayak or SUP tour.
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 Parque Temático da Madeira in Santana, a fun park that showcases the history of the island, from handcrafts to baking, music to clothing and the traditional thatched cottages. There are also animals to meet and a boating lake.
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.