More than that, London and Tokyo both have well known exchanges, and large US companies are often listed on both of those as well. If you tried to tell me that no other country has an exchange I'd call you a lair without bothering to fact check you. (My impression is New York, London, and Tokyo are the big ones that matter in the world and everything else is a me too - but in their niche/country they may still be a big deal)

Most smaller companies are just listing on something like NASDAQ, which isn't confined to a city. With modern computers the idea of an exchange in a city is not nearly as useful as it was 150 years ago.