Unfortunately the majority of time travel dramas tend to involve the woman travelling back in time. I'll try to avoid listing anything I see up above. But keep in mind these may or may not be for you, I'm trying to get you a list as complete as I can so I'm just throwing out anything that has a 'man travels back in time' plot device:
A Step Into the Past (Hong Kong 2001 with a mandarin dub. There's a remake as well but not as good)
The Myth (Mainland China 2010)
Three Kingdoms RPG (Hong Kong 2012)
Time Slip Dr. Jin (Korean version of JIN I see listed by another user up above)
Tang Dynasty Tour (Mainland China)
Man Comes to Tang Dynasty (Mainland China)
Legend of Ace (Mainland China - might need VPN to Malaysia to watch on Viu with Eng subs)
Nobunaga no Chef (Japan)
Borderline-ish:
Go Princess Go - (Mainland China) indie webtoon drama where man wakes up in body of princess.
Shuttle Love Millennium (Mainland China) - first half of 20th century
Ruk Laek Pop (Thailand) - first half of 20th century
Your Highness (Mainland China) - video game ancient fantasy China setting, more of a comedy
Joseon Survival (Korea) - the guy playing the male lead turned out to be rapist so he was replaced after a few episodes
Back to 1989 (Taiwan) - title makes it obvious it's not historical