Cyprus in general is adapting to other forms of sports apart from football. The Local Team has just got promoted back into the 2nd division (2nd Level) of Cypriot football and many foreign teams descend down on Ayia Napa in the winter months to train and sometimes you may even find an English lower league team in town too for training.
Within Ayia Napa itself, you can find a Golf Driving range, football fields, mini golf courses and tennis courts, Water Aquariums and a Sea Museum. There's also the Waterpark on the outskirts of town and next to it a Go-Kart racing circuit.
Plans for a sports center are now at an advanced stage.
On numerous beaches, you'll find Jet skies (usually for 15 mins), Speed Boats, Water Skiing etc. Not to forget the Paragliding and Windsurfing facilities available as well on many beaches.
Should one wish to escape Ayia Napa other forms of leisure such as Day Trip boats, Day Trip Safaris are available. Further interests are also available like Horse Ridding and Fishing for examples.