traditionally, if you had a church you were a village (if you didn't you were just a hamlet); if you had a market you were a town; if you had a cathedral you were a city. But you now have to get official permission to be called a city, as per mightyWBA's link (although any suburb can pretend to be a village). However, I think it's true that all cathedrals are in cities.
true, mike, but I meant right now, which is what I think the original question was about - I can't think of any cathedrals that aren't in cities. On the other hand, I could be overlooking some.
Blackburn cathedral, chosen by the late Archbishop Temple as the ideal site for an additional cathedral as its position next to a bus and railway station would allow it to serve a wide urban population.
Blackburn is many things, but not a city.
yes, good thought, Blackburn. I suppose you could argue there's no Southwark City (another cathedral that used to be a parish church), but it's in London. Ely's a city, I think.