Recommendations

Both encompass the same style and feel of the older Korean rom-coms with a bit silly and unique but determined female leads and cool but a bit aloof/proud male leads.

Both movies have a serene, slice-of-life theme with strong female characters and beautiful Japanese scenery, with the depiction of little wonders and obstacles of the everyday lives.

Both dramas are realistic historical dramas, focused heavily on the details and customs of the time and place (Korea's Joseon dynasty), both drawing inspiration from real historical figures. They can both be categorized as medical dramas (although Jewel in the Palace's main genres are also food and the royal palace/court), both focused on character growing and the main characters' career paths as well as development of medicine in general (more so in Jejoongwon). Both have brave, intelligent and persistent main characters, as well as strong female characters.

Compared to Jewel in the Palace which is set in 16th century, more in the beginning of Joseon dynasty, Jejoongwon is set some hundreds years later when Korea's Joseon dynasty is drawing near and Western medicine is gaining foothold in the country for the first time.

Jewel in the Palace is historically accurate, well-made, big budget drama that was and still is, one of the most popular and most well-reviewed sageuks that shows the life of the royal court through the eyes of a servant and concentrates on the strict hierarchical system of the Joseon dynasty especially from the female point of view. The production value of Jejoongwon is not as good as in Jewel in the Palace but it has a good script, great characters and interesting themes (the rapid development of medicine, Korea's final dynasty drawing near, Korea opening to the West and Japan, the dynasty's strict hierarchical system crumbling and so on).

Both deals with the struggle of entering a national university, which will determine the future of each student featured.

The scriptwriter for Joy of Life also created and partially wrote Young Blood. The humour and amount of plot twists are rather similar, both dramas also have minor supporting characters that are so adorable that end up being popular with the audience.

Both stories focus on students and a dedicated teacher with an unique learning approach. School Days with a Pig is drama/comedy and it's based on true events though.

In the ancient time, the human honored the winged clan as gods for their ability to fly and to build a castle in the sky. The day when the castle was to be lifted off the ground an explosion destroyed it. A human girl was suspected to have the done it. However, a man from the winged clan didn't believe it and saved her life. As it turned out, it was a faction of the winged clan trying to start a war with the humans in order to expand their control.

Both short horror films reflect on social issues and send a powerful message. Available on youtube.

Both thrillers are inspired by western novels, with the setting change to Asia of the last century. The cinematography is spectacular and the plot itself captivating.

Dramas about a rookie and a veteran detective with nice chemistry between the characters. Keiji Yugami is more comedy unlike Keiji no Genba.
P. S. Both are available with English subs.

Both touching movies are based on Korean adoptees' experience. A Brand New Life is a feature film, while Twinsters is a documentary.

Filmed by the same director, both are realistic thought-provoking series with similar atmosphere.

Delicately-written movies about children who grew up too fast under dramatic circumstances. Both are inspired by true events and tell the story through a child perspective.

-Both medical dramas
*Doctor John is much more medical focused though
-Female lead is there to help male lead through tough times
*Can't say much so as to not spoil
-Just a similar vibe between both dramas
*Especially with the music
In general both are really good dramas and I would 10000% recommend you give them a shot

They are both similar in terms of time travel but they don't really have a similar plot.
In DBTTQD, the leads met in modern times due to a magical object (She had a lantern and it allowed the prince from the past to come into her home when he slept, they fell in love during this time) , but they were then separated, causing the female lead to go into the past and find him.

UL is about a girl who enters a game to find her true love, the area she goes into is historical and she meets a lot of nice men but the one she falls on love this is the man she hates.

UL is more of a comedy whereas DBTTQD is more political. But both dramas contain, Fantasy, Action, Wuxia and Romance(More Romance in UL) :)