Then we have downtown and uptown, referring, as I understand it, to the central business district and the up-scale residential area.

I may have mentioned this before, but when I was a kid growing up in suburban Boston, going "uptown" was going to the "business center" of our little 'burb, and going "downtown" was going to Boston.

In Vermont, we have the (poetically named) Northeast Kingdom -- the NE corner of the state. It is extremely rural, even by Vermont standards! Towns with populations in the double (and single) digits are not uncommon in The Kingdom. I'll also add another NY state place name here. Upstate NY is indeed anything not in NYC, but the extreme northeastern part of the state is also referred to as the North Country.