Tandem Paragliding flights.
Jardins do Palheiro
The Quinta do Palheiro Ferreiro Park is a typical example of a manor in British colonial style. While the manor is private and can't be visited, you can enjoy the public park. On first sight it looks like an English park, with old Platanes forming a long alley from the main gate to the gardens. But when you look closer you see all the tropical plants that build the basis, completed by hundreds of plants from all over the world, so all year round there are plants blooming. The main part of the park is formed by several gardens: a French Garden, a Sunken Garden, the Ladies Garden, a Rose Garden and some more. Opposite the main gate is a Tea House, which is connected to the golf course. They serve some good tea, cakes, pastries, snacks and small lunches. The way back to the main gate is formed by the Camellia Avenue, a flourish firework between end October and March.
The park is at 500 m altitude. 09:00-11:30 the park is often crowded by bus tourists, so choose the afternoon for a more laid-back visit. Entrance fee €10.50. Public buses frequently connect Funchal with the park: line 36 or, if you have strong nerves, line 37 for a more spectacular ride.
Jardim Botânico da Madeira
The more than 2000 plants of these hillside gardens, plus the view of Funchal make this one of the major attractions of the whole island. The gardens also feature a collection of parakeets and parrots.
Peasants' Market
This historic building, with an open patio, offers, on two levels, fresh fruits and vegetables from all over the island. On the lower level is a separate hall where fish vendors sell fresh-caught fish. Eat and buy local fruits like the small Madeiran mangos, bananas, philodendres and plenty of kinds of maracujas. Taste the offers from vendors. But be careful, as some may try to rip you off and sell you over-ripe fruit, or some heavy mangos for the (expensive) price of light maracujas. There are also some nice pastelarias and coffee bars in and around the building. These are often crowded when it's raining, and when large cruise ships are on the pier.
Jardim do Monte Palace
The gardens of this defunct hotel include a Chinese garden, artwork, a small lake, and a variety of flora and fauna.
Convento de Santa Clara
Dating from the end of the 15th century, this convent, now a national monument, was founded by João Gonçalves da Câmara. The azulejo tiles are especially notable.
Palácio de São Lourenço
Half fortress and half palace, this construction is a good example of mannerist architecture. Highlights include the Noble Salon (Salão Nobre), the Green Room (Sala Verde), the Audience Hall (Sala de Audiências), and the gardens.