https://mydramalist.com/16228-the-mystic-nine
It's not a crime show and they are not solving crimes, it's more about tomb robbing and conspiracy. Republican era.
https://mydramalist.com/23674-tientsin-mystic
There's some crime-solving, but there's also a lot of mystical and creepy stuff. Republican era.
https://mydramalist.com/26756-operation-moscow
Cops trying to catch criminals in 90's Moscow. Haven't finished watching it yet, but the episodes I watched were good. Unlike many shows, this one was shot in Russia (and not in Shanghai or something) and has foreign (Russian) actors and not Chinese pretending to be Russian and speaking with broken accent.
https://mydramalist.com/28467-the-ghetto-fabulous-lady
Disclaimer! I DO NOT recommend this show, I found it rather boring but it fits your requirements. Watch at your own risk. 1920's Hong Kong
I don't recall any more shows for now, if you want to browse MDL on your own, China 1800's and early 1900's should be tagged 'Qing Dynasty' (but there are also shows from 1600's so before picking a show to watch check what year it's set in), and 'Republican Era' starting date is 1911 (Xinhai Revolution).
