Sigh, I guess I want precision and must be unsatisfied that I won't get it. It would so easy just to swap out our real cities with the fictional cities based on their appearances:
Doesn't work that way, though. Sometimes more than one real city is used to represent a fictional city in the same production. Nolan's Gotham in the first two films was a mix of Chicago and London locations, while in
The Dark Knight Rises it was a mix of LA, New York, Pittsburgh, and London. National City since season 2 has been a mix of Vancouver locations and LA establishing shots, just as
Batman '66 was a mix of LA locations/studio backlots and New York City establishing shots. So they aren't supposed to be literal doubles of the cities they're filmed in.
National City = Los Angeles
Gotham = Chicago
Star City (Starling City) = Vancouver (but in the USA)
Central City = San Francisco
Freeland City = Atlanta
Metropolis = New York City
Detroit = Detroit (being born and raised in Detroit, I understand why the CW doesn't want it.

)
Vixen was set in Detroit. (Indeed, a staggering number of Arrowverse characters were members of the infamous Justice League Detroit in the comics, including Martian Manhunter, Elongated Man, Vixen, Vibe, Gypsy, and Steel. The only JL Detroit members not yet seen in the Arrowverse are Aquaman and Zatanna.)
Also, with the exception of National City and Freeland, every one of the real and fictional cities you listed coexisted on Earth-1. Vancouver and San Francisco were name-dropped in
Arrow, and LA, Chicago, Atlanta, and NYC were all visited in
Legends, Constantine, or both.