See all Attractions in Cesme Cesme for: Adventure, Food And Dining, Art And Culture, Nightlife, Spa, History, First Timers, Family, Romance, Shopping Old city About Old city. The Old city is full of Greek neo-classical buildings from the late 1800s/early 1900s that wouldn't be out of place in, say, Symi, which are well preserved and are quite elegant. Add to Wish List