Starting from the main town, it is worth paying a visit to Potamies (Lower, Central, Upper). This specific area has taken its name from the different water springs that can be found here. Therefore, at a distance of just 10km from the main town, you find yourself at the “greenest”part of Naxos, surrounded by sycamore trees. The villages here are beautiful and picturesque and it is worth taking a walk around. Apart from that, Upper or Ano Potamia has decent facilities for coffee and food.
You can visit the nearby beaches of Aliko or Pyrgaki. Both beaches have numerous bays, some of which very deserted. For your evening strole, you can enjoy a drink at one of the beach bars with a lounge atmosphere on the beach of Plaka.