A walk to nearby Lissos is almost a must. Lissos was a very significant town in ancient times and there are still many ruins left, particularly an Aesculap (Asklipios) sanctuary. The walk to Lissos and back takes about 3 hours at a leisurely pace. The atmosphere in Lissos is so peaceful that it is well worth spending time there, wandering around the ruins and enjoying the silence.
Elyros Ancient City
Further afield you can drive up to the ancient city of Elyros (situated close to present day Rodovani). It is located on a hill overlooking the sea and the mountains and there are plenty of ruins to see (although only a few have been excavated).