Sure, like Downtown Abbey!I never thought about going into town referring to that. Over here it is a very common phrase but it's almost exclusively used with literally towns or small cities. Like a farmer going into town.
But in seriousness I was being deliberately obtuse because these terms aren't used in the UK at all and if you asked me I wouldn't be 100% sure what Americans use them for. My guess would have been downtown is the central area of a city and uptown is the suburbs. British people would say "city centre" or "town centre" instead of downtown and we don't really have a term for uptown we usually just say the name of the place. There's also abbreviations of those terms people use.
For example everybody in my home city of Preston refers to downtown/ the city centre simply as "town", which everyone understands is short for "town centre". So we say "I'm going into town" to people. idk if that's a common northern thing or if its just my city which says that. And for the uptown part I'd just say the name of the suburb I live in. Uptown wouldn't make sense at all in most cities really, you could be referring to any number of places.
Locally we have Downtown Littleton but downtown on its own always refers to Denver. It's also common to call it just main street (think Disneyland Mainstreet).
Yeah Uptown isn't used generally like Downtown. Manhattan island is tall and thin so all expansion happened to the North but most of the time it doesn't work that way. Interestingly enough though according to Wikipedia it is common for newer sections of a city to expand into mountain sides, making "uptown" refer to geographical height instead of North.
