Faith (2012)

Even though Faith isn't Japanese movie, it's Korean drama, they have similar plot, they are both historical and action movies.

In both dramas main lead travel back in time( the duration of time travel differs) and now they must survive in a different time line which is unfamiliar and has different rules

Modern day FL travels to the past and falls in love with a general.
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The female lead time-travels to the past and falls in love with the male lead.

both have time travel genre, there's also a diary involve that owned by main lead actress of this two drama, the difference the way they time travel is that in Faith a doctor is being forced by someone to time travel while in Thousand Years of Love a princess who wants to die, time travel instead. they also have bitter sweet ending

Both are time slip dramas with a modern day FL and historical ML in a court setting.
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Even if the plots and the main characters are different, some characters appear in both dramas (in Faith they're young, while in The Great Seer they're older).
In both dramas there are supernatural powers (used to fight and to time-travel in the first, used for divination/geomancy in the second).

Similarities :
The story is based on Time Travel.....
They have Power struggle between royals...
Main lead travel from modern day to historical era.....
Both have parallel world

Time Travel
Destined Love
Romantic Moments
Conflicts in the Palace
Martial Arts meets CGI
Interfering with History
Modern World vs. Ancient Dynasty

In both the male lead is physically very fit and a good fighter and with his skills he rescues the female lead from danger. He watches over her and she feels protected because he is there for her. The antagonists in both are scheming politicians, so the male and female leads are helping the good side to win.

Both are historical set, somewhat slow paced, but engrossing. Both MLs have some sort of supernatural power. Both FLs are their second, instead of first love.

Both are dramas that are heavily build on a guy which is good at martial arts and is fighting for a cause..

• Main character who is from modern times is taken to dynastic era and practices medicine
• Less on romance, more on politics and action
• with supernatural powers and supernatural events
• modern ideas references
• relationship between king and ML
Difference being
• one being time travel and other being *spoiler* not time travel

Both dramas are about a modern day FL time traveling into history and unexpectedly falling in love with the ML who is a general.

Whilst I was watching CLOY I kept being reminded of Faith. Has a similar storyline - FL ends up in a place where she doesn't belong, and ML - a military leader ends up protecting her, falling in love and trying to send her back to where she belongs