Sniper (2020)

It's set in around the same time, though in History of Crime there's no CCP and is more just crime-solving and mafia-ish vibes and in Sniper there's more elements of communist propaganda.
I find HoC and Sniper similar in that they both have this main theme of people coming together to solve crime despite having different backgrounds. There're also two main male leads (though HoC also has a FL lead who's actually quite a good character unlike the one in Sniper imo) who are friends, though in Sniper it's friends-turned-enemy and in HoC it's sortof-enemies-turned-friends. Sniper has hints of romance while HoC has none and is rather fast-paced in its development.
If you enjoy the combination of republican-era feel and crime, you'd likely enjoy both.

A little more action but also a spy drama set in the Japanese occupation and the fight between KMT and Communist

Similar ??. Set in the time where China was under Japanese occupation the storyline speaks of how the two snipers become embroiled in the fight against each other first then against the Japanese.

This drama has spy and romance elements. There are tense moments of life and death and the feeling of adventure at every turn. With actor Liu Xue Yi and actress Peng Xiaoran.