I know that both stories are quite different, but I am recommending Tree with Deep Roots for Arthdal fans and vice versa because they have the same writers.
>Both dramas have:
== more twist and turns and character revelations (whether it is an additional character or something about a character is revealed
== Song Joong Ki's high class acting --> though he's only in the first 4 episodes + episode 9 in Tree with Deep Roots, it is worth watching if you want to see his good acting skills. Even if you started both shows for him, you will find yourselves also immersed on other characters as well the actors that portray them (whether it is an older version of Joong Ki's character, a mysterious swordsman, a mysterious guy with a mask, or even the villains)
== I think it's noteworthy that the shows also put importance in education and literacy. Like how the wahans or the poor Joseon people were taken advantaged because they were seen as less "educated"

I know that both stories are quite different, but I am recommending Tree with Deep Roots for Arthdal fans and vice versa because they have the same writers.
>Both dramas have:
== more twist and turns and character revelations (whether it is an additional character or something about a character is revealed
== Song Joong Ki's high class acting --> though he's only in the first 4 episodes + episode 9 in Tree with Deep Roots, it is worth watching if you want to see his good acting skills. Even if you started both shows for him, you will find yourselves also immersed on other characters as well the actors that portray them (whether it is an older version of Joong Ki's character, a mysterious swordsman, a mysterious guy with a mask, or even the villains)
== I think it's noteworthy that the shows also put importance in education and literacy. Like how the wahans or the poor Joseon people were taken advantaged because they were seen as less "educated"

Both feature talented women who chases their dreams despite living in a patriarchal society. They both enter an institution where they were both trained by a woman who were initially strict but whom they eventually learned to love and respect. Because of their talents, both became known in her institution, even the king offering something for her. They both had bitter rivals, jealous of their talents and even obsessed with their lovers. Both overcame a lot of hardships to became well known in their institutions. Their choices of how they live their lives in the end can be a surprise.

There are so many similiarities in both dramas:
=> set in the time of King Jeongjo
=> Female lead has to pretend to be a man in order to live well in a patriarchal society.
=> Female lead has sort of a brother character who is much weaker and less talented than her, but the brother character still deeply cares for her
=> Female leads unique talents has led her to enter a male-only institution where she could prove her talents
=> There is a male character in the institution who is a rival for the female's talents.
=> Because of female's talents, she was able to prove herself in the institution she joined with even the King Jeogjo character acknowledging her skills.
=> One of the paintings in Painter of the Wind is a design on the clothes of the most flamboyant male character in Sungkyunkwan Scandal
=> Female lead is an orphan, her father's death is related to his work on King Jeongjo's father Crown Prince Sado
=> A gisaeng is in love with the female lead's male persona (watch the dramas to see if either female lead returns the gisaeng's love)
=> A lot of shenanigans involved, including the female leads having to dress as a gisaeng while in her male persona!
=> One of the villains of both shows has an assassin that was assigned to kill one of the good characters.
=> Considering the setting of both dramas is with the same King Jeongjo, the ending of one drama might make you think why is it not possible for the other drama.
Differences:
=> There is no similar version of Yoo Ah In or Song Joong Ki's characters in Painter of the Wind
=> The teacher and the main male love interest in Sungkyunkwan Scandal are different characters whereas they are the same character in Painter of the Wind
=> Sungkyunkwan Scandal focuses on lessons, books and Confucian teachings while Painter of the Wind's focus on painting.

If you admire Ha Ji Won in beautiful historical costumes, as well as portraying complex characters, then Hwang Jin Yi (2006 drama) is a must watch.
Similiarities:
=> actress Ha Ji Won
=> Ha Ji Won characters undergoes a lot of training to become a beautiful woman
=> The beautiful costumes that shows Ha Ji Won's characters' beauty
=> story is both about a woman who has to overcome the pain in her lovelife to become the best as she can be
=> Not really the same but can be comparable: If Empress Ki has fighting Ha Ji Won, Hwang Jin Yi has dancing Ha Ji Won
=> the beautiful way in which Ha Ji Won expresses her characters complexities in both dramas.
=> From what I know, these are the dramas that gave Ha Ji Won her Daesang (grand award) for the yearly tv station awards (Empress KI-MBC, 2013; Hwang Jin Yi-KBS 2006).

A historical drama featuring a star-crossed love triangle starring Ha Ji Won. The stories may be quite different but if you watched Empress Ki or Damo, and liked either of them really well, you must obviously have become a Ha Ji Won fan because since she's the lead of both shows. Therefore, I am recommending Damo to Empress Ki fans and Empress Ki to Damo fans. Both dramas feature Ha Ji Won as an orphan poor girl who has to overcome a lot of trials in her life. Both dramas are also her sageuks where she shows a lot of swordfighting and other action skills. Also in both shows, it appears that she had always loved a man who is kind and caring, but somehow became drawn to another man who she was not supposed to love. The love triangle in both dramas have great effects on Ha Ji Won's character since they both have/gave her something very important to her.
I suggests fans of either dramas watch the other since Ha Ji Won is fantastic in it. Also, because Damo was such a great drama for its time in 2003 but is somehow currently ignored because of so many newer dramas.

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