Could use "City near Turkey's largest oil field" or "Capital of province with Turkey's largest oil field". Nice quiz though, with or without the Caped Crusader... :)
For Batman. It's the capital of Batman Province and the Batı Raman oil field is just outside the city (the discovery of which led to its growth). It's not an insignificant city population-wise (20 times the size of Side for example), though I guess most people outside Turkey know it for its funny name.
Eskişehir is misspelled, Nicosia is not in Turkey and and Rum is a denomination for a loosely defined group of people and it's not a city whatsoever, and nothing to do with Anatolia; on the contrary, it is supposed to refer to the west of Anatolia such as Rumeli.