Prompted by the city/colony of New Portland on tbe (pretty lousy) series Pandora. Lots of examples out there, let’s make list.
(To clarify, it can be a whole planet/moon and not just a city, but if the name you give is not in the form of the word “New” (or other language equivalent, such as “Nova”) followed by the name of an existing real Earth city, then it is off-topic for this thread.)
Seems to me that there could be more than one New London, each named after the original London in England. And a New New London.
Doctor Who got carried away with this and at one point the Doctor and companion visited New New New New New New New New New New New New New New New York.
“New New York” was the short version of the name of the city on New Earth - the full name had the fifteen “new’s” but it was awkward to say so everyone abbreviated it. So it’s all the same city.
Not a specific sci-fi story but a collective modern popular fantasy, the secret Nazi base in Antarctica that none of us know about is sometimes called New Berlin [or at least that’s the name that it’s not shown on the secret maps we have never seen].