Recommendations

Both dramas involve time travel by the FL between adulthood and her school days.
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Both are mini dramas and involve time travel.
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Both are mini dramas and involve time travel.
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Both are mini dramas and involve time travel.
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Both are mini dramas and involve time travel and are set partially in school, partially in adulthood.

Both involve time travel with the story set partially in school, partially in adulthood for the main couple. Both are mini dramas.

Both have strong fathers who affect the lives of their children affecting the trajectory of the Leads and complex relationship arcs that are not black and white.

The plot is as richly woven and the rooting for the leads sitting on the edge of the seat will happen in this show too.

They are both character driver rather than plot driven. The characters in both dramas are tortured, conflicted, flawed, and complicated. Also, both dramas have a slow pace with beautiful cinematography and beautiful music although I would say A Piece of Your Mind has a far superior cinematography.

the main plot is different. but, the subplot about "special preparation class" reminds me of sky castle. and bang sua character is the walmart version of kang yeseo lol

Kinda similiar vibes, male lead is crown prince and kinda feels in bith thats its forbidden love. Both princes kinda have similiar personality so far. Also both have little comedy.

The same universe, almost the same cast. It's pretty much a Chinese Lakorn. Lots of drama and a fantastic FL.

Both dramas are : mystery/thriller/romance/investigation/palace politics/strangling for power/corrupted officials trying to overthrow the prince from his position/suspense/action.

In both dramas the prince is smart and kindhearted but he's constantly threatened by corrupted politicians whom want to kill him.
In both dramas the female lead tries to save the prince and together they uncover murders and secret organizations that try to overthrow the monarchy.
In both dramas the main leads fall in love slowly in the process and not instantly. The romance is mature , deep and meaningful.
Female lead in both dramas is a capable warrior, she knows how to fight, handles a sword better than most men , is smart and cunning and deeply in love with the prince.
Both dramas focus in the "fight between Good and Evil" .
Both dramas have this dark cinematography theme similar to thrillers, include deaths and tragic scenes were good people get sacrificed and killed for the power hungry royals. Haechi is more serious and tragic. Our blooming youth is more focused on the romance.

Both historical with modern vibes and good comedy moments.
Love triangle between a king, nobleman and a girl commoner
FL is pretending to be someone else.
FL was supposed to marry one of the MLs but fall in love with the other.
Very strong SML syndrome in both dramas.
High officials plot against the king.
Both are lighthearted and worth watching.

Similar vibes! Both are very enjoyable to watch and have a happy ending. If you like romantic movies, go for it!

Both have an assertive dominant, aggressive gangster-like man with a soft girl.
Both are sort of toxic relationships.