Dr. Jin (2012)

They have doctors going back in time to were there is a officer trying to get them.

It involves time-traveling and doctors that affect the past. Faith is about a plastic surgeon and Time Slip Dr. Jin is about a brain surgeon.

A Female Doctor traveling back in time. (2012)

Both are about time travelling doctors

'Time Slip Dr. Jin (2012)' is the Korean version of the Japanese drama 'JIN' (2009) and 'JIN2' (2011).
Both deal with medical, history and time slip.

While the Korean version plays more with the romance by adding a male character as love rival, the Japanese version gives a more acceptable reasoning to why the time travelling happen.

both about time traveling rooftop from past to future and Dr.Jin from future to past :))

based on the japanese version of the show. watch this one if you get a chance.

Main characters time-travelled to Joseon Dynasty from modern day. In MQ, he is a chef. In DJ, he is a doctor. They both used their own respective skills to help out people around them. They both were kinda entrepreneurs in Joseon.

All the gods will be leaving before the last rain of doomsday. However, an ordinary human girl unexpectedly puts a dent in their plans to retreat thus causing the world to move towards the unknown. Based on the animistic mythology of the Amis tribe, the gods are no longer willing to bless the land that is plagued with environmental issues. One by one, the gods depart the world they once loved. A human girl discovers that the opportunity to reverse her destiny lies within herself and her guardian. Before the final day of judgment, a love story between human and god unfolds.

even though the doctor stranger doesn't involve of time traveling genre.
the both male lead of this dramas is trying to saved his love ones, and it also focused on romance and medical.

Both dramas have time traveling themes

- both are historical drama that involve medical genre that surgery is the only option though they're different plot coz Time Slip Dr. Jin has a time travel genre and Horse Doctor male lead is from the noble... some kind of status and faced some difficulties... and there's no time travel genre
- both are interesting to watch especially those who likes medical dramas

Both dramas have time traveling themes.

A joseon woman dreaming of becoming a doctor becomes an apprentice of a 21st century doctor who travels in time. Very interesting story, with time travel and addressing the meaning of what it is to be a true doctor. However, the quality of Dr. Jin's story turns out to be inferior to that of Dr. Heo.