City or town? Nowadays it's all about size, which is relative, of course. Relatively speaking, a city is bigger than a town, at least within the same country. Two places with the same population could be viewed quite differently if they are in different countries - a town in one, probably a large country, but a city in the other, most likely smaller.

There could be a similar situation with town and village - but in the past there was a clear difference, not just in size. A village did not have its own independent governing body, but a town could, especially if it was a free royal town with privileges granted by the king, and a town could be a city if it had a cathedral and its own bishop. Those distinctions don't count any more, but the title of the person in charge does. A city or large town in Slovakia has a "Primátor" or Mayor in English - say /mää/ or /määr/. Smaller places have a "starosta", who might be called "council leader" in the UK or "village president" in the USA.