Sigri is a small village on an isolated tip of lesbos. The Bus or Taxi from the airport is about 2 hours and half of it winding mountain roads. If you survive that it's worth it! The air is clean and the wind picks up early, it is quite windy most of the time so not prone to the extreme heat and humidity in mid summer. The beaches are gentle but the sea temperature is slightly colder than most Greek Islands.
There is a museum and the restaurants are just fabulous and not too expensive. If you have a little more cash The Orama (Vision ?) hotel is excellent with a clean swimming pool. I Travelled a lot and lived in beautiful places but Sigri is to die for if you have a liking for the remote and natural.
Nice people in the village too !