Recommendations

Both are rather short and lighthearted historical drama from China. I watched I'm a Pet at Dali Temple first and watching Princess at Large reminded me of it and gave the same feeling.
Both dramas have female leads that travel back in time and both male leads have a medical condition that the female lead helps them with and throughout the drama they fall in love.
Also both were subbed by Lan Lan on FB.

Both dramas are the stories of the blessed true king’s rise to power facing many hard trials when he/she goes up from level to level, but sometimes pays high price for it.
Of course, these two dramas have big difference: First King’s Four Gods (aka Legend) is a fantasy with lots of magic, Queen Seonduk is just a historic biopic (So, FKFG is about king Arthur, QSD is about Elisabeth I Tudor). FKFG was shortened and got sudden ending (with lost plotlines), QSD was prolonged and got additional story arc in its final part (thrilling but hard to watch).
Though QSD is a political drama almostly cleaned from supernatural it has many mythological tropes (like sky omens, prophecies etc.). QSD takes some plot twists and typical chacracters from FKFG or from other previous K-dramas about great kings.

Also in both dramas the unification of various Korean kingdoms is a sacred super-goal that justifies any means

They are both dark with romance. In Take Me Home, the romance isn't a central theme, but it's still there. The way that they are filmed give them similar tones.

They are both dark romances with horror, love triangles, and supernatural beings. They have great graphics and are well made, it's a good watch.

Angry Mom is a drama and She's on Duty is a movie, but they both have driven female leads who go undercover as a high school student.

Same fantasy type elements
Male peruses female
Comedy mixed in
Both have the same feel

Koran odyssey is more action packed and intense and love knot is a bit more subdued but still great.

They are both Japanese dramas centered around independent or underground idols and the idol industry.

Similar themes. Female leads saves the world in the end for revenge. If you want to watch a drama with a female lead who isn't so naive, Princess Agents is recommended. Though both endings were not satisfying, but at least Princess Agents plot had more development.
Warning: That drama is also as twisted and graphic as this one.

Similar: Friendship, Business, Romance, Drama, Family, Melodrama.

Great chemistry in both.
Leads are superb.
Both are a bit lengthy.

In both movies, the basic plot remains the same. of two friends, one feels something more for the other and try to add more to their relationship

- Cold older female lead who is focused on her work and career and doesn’t believe in love or marriage.

- Warm younger male lead who still believes in love and marriage

I am sure that if you liked While you were sleeping you will love Extraordinary you.
Both have a love triangle in which the woman discovers first somthing fantastic that later she shares with the men: In While you were sleeping the demale lead can see the future and later the male leads too and in Extraordinary you the female discovers that she is a Manga character and later the male lead also thanks to her and also in both dramas the three main characters look for solutions to the problem and try tu change their fate.

I'am not good at explaining myself but I swear that you will not regret watching the drama.

A character comes « back to life » and lives near their loved one without him/her knowing it is actually his/her loved one (does it make sense?)

Although the subbing for flying colours is undeniably atrocious, they're very similar in that "persevere and you'll do your best" trope - not to say it's a bad thing! They're both rewarding and absolutely inspirational in that sense. Both feel good, x2000% romance in hajimete koi wo shita, and more feelsy (dare I say, relatable) for flying colours.

i found this dramas very similar although graceful family was quite better. they are both about very rich families, conspiracies, being untouchable, cult like groups, daughter in the family exiled or treated unfairly, daughter meeting a helper/guy that becomes a support system. AND most of all the villans, both dramas have the kind of villan you hate to love or love to hate. they were very good at being evil but somehow they got my sympathy. in both dramas the villlan had an unexplainable fondness with the male lead. graceful family is better because the leads have better chemistry and there was no forced/cringe romance like in the k2.