The impressive Maspalomas sand dunes are worth seeing, while a bit further along the south coast is the small fishing village of Arguineguin. Nicer still is Puerto de Mogan, with its low buildings and narrow alleyways.
San Nicolas de Tolentino, also a short drive from Playa del Ingles, is a small, inland area of nature reserves that has Cactualdea cactus park as its main attraction. You could also try Mundo Aborigen, a museum specialising in information about the Guanches, the original inhabitants of Gran Canaria.
One of the most popular day trips is to the island's most famous landmark, Roque Nublo (Rock Cloud), an 80 metre-high monolith 1,813 metres above sea level. Another popular stop is Artenara in the north-east, which boasts once-inhabited caves. The main attraction is the Santuario de la Virgen de la Cuevita, a cave church used by the original islanders for worship and transformed into a church by Spanish invaders.
You could take a ride in a submarine at Puerto de Mogan. There are also great boat trips to be had for deep-sea fishing or dolphin watching. Check out the aero club, 10 minutes' drive from Playa del Ingles, where you can try your hand at sky-diving.