Moon Embracing the Sun (2012)

Both are historical dramas and they were centered around the royal family. They also contained a story in which the king's wife was jealous of the king's love towards another girl. They also had cute and funny, romantic moments.

"Moon Embracing the Sun" is a Korean drama that has the same fire and chemistry of "Love Like the Galaxy". It shows how two people are loyal to their hearts. Both FL and ML are extremely smart and kind people at the core and remain unchanged throughout the drama.

For new fans of Lee Tae Ri from this drama, you need to check him out in Moon Embracing the Sun. He is such an underrated actor because he was acting next to today’s popular young actors Yeo Jin Goo, Kim Yoo Jung, and Kim So Hyun but somehow wasn’t noticed by the masses unlike the other three.
The two dramas are not very similar. But Extraordinary You has a historical part where the main love triangle of two guys and one girl is featured. If you enjoyed that, you might like the historical dram Moon Embracing the Sun also, where all the other plotlines is subservient to the love and romance story. Also, if you like seeing Lee Tae Ri in historical costumes in Extraordinary You, you can see him rock those in the first six episodes of Moon Embracing the Sun as the young version of the second male lead.

In both these sageuk, the crown princess/queen selection is a focal point of the intrigue.
The crown prince/king prince influences on the selection process because he's already smitten.

In his early years, Oda Nobunaga picked up the nickname of "The Fool of Owari" due to his bizarre behavior. He later married Nohime, but their relationship was not very good. Their marriage came about as a political marriage between hostile neighboring regions. Oda Nobunaga accepted Nohime as his wife with an arrogant, authoritative attitude. Meanwhile, Nohime has an unabashed attitude and easily clashes with her husband. They are like oil and water.

One day, Oda Nobunaga’s enemy Imagawa Yoshimoto attacks Owari with his vast army.

Oda Nobunaga is devastated by the overwhelming gap in military strength, but Nohime encourages Oda Nobunaga to not despair and fight against his rival. Oda Nobunaga and Nohime draw up a tactical plan to take on the much larger army. They soon make plans to unify the entire country, which has never been successfully done.

Both are historical dramas set in the joseon era with fantasy elements (more so in moon sun than rebel). Both have the same vibe of sincere love, fight against corruption. But while The Moon that Embraces the Sun centers around the royals and nobles, rebel is more down to earth with story revolving around the normal folk aspiring to make a change. I love both dramas but feel Rebel has that something special that brings authenticity to it that I have yet to find in any other historical drama (that I've seen).

In the late Joseon dynasty, counterfeits were circulating around. Detective Ahn of Left Security Station and a passionate newcomer, Nam Sun, try to trace the source of the counterfeiting. They chase the Secretary of National Security and his man 'Sad Eye' as suspects. A predestined battle between the best woman detective in Joseon, Nam Sun, and a mysterious assassin 'Sad Eye' is unfolded. A magnificent, chivalric film that showcases Lee's style

Both dramas about dark magic and also a historical drama also same actress acting as evil queen mother.

Episodic saga from the first half of the 20th century follows Hero Hua from an ill-omened June day in his youth to a showdown 17 years later with a disaffected member of his martial-arts school, a Japanese named Invincible. Tensions between Chinese and Japanese, plus U.S. racism, mark the tale. Hero marries Jade, leaves her in China when he goes to America as an indentured servant, rebels against cruel labor conditions, and is joined by her in New York City where she has twins. Jump ahead 16 years: their son Sword comes to New York looking for his father. There, Sword hears many stories of his father, which we see in flashbacks, and the stage is set for the battle with Invincible.

Need more shows where Kim Yoo Jung shows her versatility as a child actress? Grudge the Revolt of Gumiho is for you
There are a lot of elements similar to the stories:
-> Both are sageuk, but both dramas contain fantastical elements (shamans, curses, prophecies)
-> the sweet and talented beautiful young girl believably played by Kim Yoo Jung
-> basically, both Kim Yoo Jung characters entered a place (palace in Moon Embracing the Sun, Yoon’s house and surrounding town in Grudge the Revolt of Gumiho) and her charm and beauty impresses some powerful adults (king in moon sun, head of Yoon household in gumiho) making rival girls jealous
-> there is a sweet childhood love story in both dramas, except in Gumiho, the childhood love story is not the main plot.
-> The guy playing Kim Yoo Jung’s lover in Gumiho is Lee Tae Ri/Lee Min Ho 93 (aka the young version of Yang Myung in Moon Sun)
-> The above basically means that if Yeo Jin Goo (young Hwon) and Kim So Hyun (young Queen Bokyung) have Missing You, then Yoo Jung (young Yeon Woo) and Lee Tae Ri (young Yang Myung) have this drama Gumiho fox child
-> Find the scene where Kim Yoo Jung/Han Ga In are following butterflies?—> there are at least two cute scenes in Gumiho where Kim Yoo Jung and her lover are enjoying fireflies. Both dramas actually have two young couples meet because Kim Yoo Jung’s characters were following insects
-> The main villain family in both dramas both have the last name Yoon. Both fathers wanted to kill Kim Yoo Jung’s characters for their benefit and both daughters are evil, ruthless, and are jealous of Kim Yoo Jung’s characters (especially because the guys they like like Kim Yoo Jung’s characters)
-> SOME SPOILERS: Kim Yoo Jung’s characters both “died” in these dramas, and her lovers in the respective dramas were too helpless to save her. Both dramas also make people feel for the grief of a family/lover, for the death of an innocent young girl.
-> SOME SPOILERS: In both dramas, after the “death” of Kim Yoo Jung’s characters, both characters appear on the lives of other people they had affected when they were young, appearing either as a dream to the people she loved or somehow haunting those that hate her (particularly the evil Yoon girls)
-> Shamans have great involvement to the events in both stories
-> Other actors that appear in both dramas aside from Kim Yoo Jung and Lee Tae Ri/Lee Min Ho 93 are Yoon He Seok (Sungkyunkwan student who became a guard or warrior in Moon Sun/ Kim Yoo Jung’s lover’s dad in Gumiho) and Jung Eun Pyo (Eunuch in Moon Sun, Kim Yoo Jung’s biological dad in Gumiho)
Gumiho does not focus on romance unlike Moon Sun, but it has many elements similar to Moon Sun and has some romances between its complicated characters. This Gumiho show was in 2010, and I firmly believe that it was her experience in this show that helped Kim Yoo Jung prepare for her role in Moon Embracing the Sun

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.

This is more like time travel, where a Joseon Dynasty scholar accidentally transports himself to 21st century into a movie set about Joseon Dynasty & falls in love . It can be considered both historical both modern and includes time travel

A popular teenager inexplicably finds herself in the body of an unpopular classmate - and her body's new owner has no intention of switching back.

The series centers on Ayumi Kohinata, a first-year high school student who has a cute and shy personality. She's excited that she just started dating her first boyfriend, but on the day of their first date, she gets a mysterious call from her classmate Zenko Umine. Zenko says she's going to die, and Ayumi witnesses Zenko jumping from a building. The next thing she knows, Ayumi wakes up in a hospital, but in Zenko's body.

both are about kids that fall in love and are separated because of an "evil" family member (father/grandmother) to meet again after a long time when they got old.. also some young actors are the same (Yeo Jin Goo, Kim So Hyun) and I think both are great dramas with a very sad story :)

Quiet and gentle, Min Jae Yi is everything a good daughter of a prominent family should be. Engaged to the son of the Second State Councillor, Jae Yi knows that the only way to bring herself and her family honor is to accept her fate, which she does with grace and charm. Devoting herself to learning everything she needs to know to become a good wife and mother, Jae Yi dutifully prepares for the future. Sadly, destiny has other plans for her future. Four days before her wedding, Jae Yi’s family is murdered. With no one else to blame for the unexpected tragedy, Jae Yi soon finds herself the object of baseless and horrifying accusations. Blamed for the death of her family, Jae Yi might not have had much of a future at all, if fate hadn’t decided to intervene. Bringing the lonely crown prince, Lee Hwan into her life at just the right moment, Jae Yi is saved from a dismal fate, but her salvation comes at a price. Plagued by a mysterious curse, Lee Hwan agrees to help Jae Yi, but only if she agrees to help him break his curse in return. Unable to refuse such an offer, Jae Yi agrees to the prince’s terms, setting them both on an unexpected path toward love. But what chance does their love have of surviving when one of them is a former murder suspect and the other is a cursed prince?