I think it would be fun to go full out with “1001 Arabian Nights” orientalized fictional New York setting. It’s somehow always the 20s, and 80s and also contemporary. There’s depression era gangsters and Wall Street finance bros. Spider-man or the Teen Aged Mutant Ninja Turtles might show up. The Mayor is never named but is a constantly felt presence. Sometimes the World Trade Centres are there, sometimes they’re not.
Batman the animated series
Gotham City is in New Jersey
It actually varies. It's in NJ as of current comics, but there's a lot of times its in NY too, and even other states. See the wikipedia article for more.
For Batman the animated series specifically, it's in New York (mostly):
Gotham City is featured heavily in Batman: The Animated Series. When describing Gotham City Paul Dini, a writer and director of the show, stated, "In my mind, it was sort of like what if the 1939 World's Fair had gone on another 60 years or so".[61] In the episode "Joker's Favor", a driver's license lists a Gotham area resident's hometown as "Gotham Estates, NY". In the episode "Avatar", when Bruce Wayne leaves for England, a map shows Gotham City, at the joining of Long Island and the Hudson River. The episode "Fire from Olympus" shows a character's address in a police file indicating that Gotham City is located in New York state.
Also Gotham is famously a nickname for New York, so regardless of what state it's technically in, the NY connection is there.

















