- FL learns martial arts on a secluded mountain
- ML comes to the mountain and disrupts the peace
- Resulting in the FL (with a companion) leaving the mountain and at some point meeting ML again
- ML has mysterious (royal?) background
- characters travel around their world meeting friends / people from different countries/sects
- somehow getting into a treasure hunt for a "big secret" that is going to be revealed
- FL is getting stronger along the journey

LOFei did mention Fei being adopted at some point, but later this was not a topic anymore while the story resolved more about the ML background.
LOFuYao was the other way around.

- both ML work in high positions for the department of three justices (???) to solve crimes
- both ML are loyal to the emperor
- both FL are poor
- both FL help ML solve cases
- both FL have a hidden, difficult family background (don't want to spoil, but you will know)
- in both C-Dramas a group of friends forms a kind of crime solving task force

both dramas feature an old, historic and conservative family that has to face a lively (future) daughter in law.
While the FL has to adapt to her new family, the family is changing because of her.
Similar is also the drama sweet 18 (https://mydramalist.com/294-sweet-18)

A robot or another guy: a relationship seems impossible, so it is easy to open up. But what is this feeling towards this guy or robot?
In both cases we see a slow growing of fondness and friendship, that is impossible to result in a boyfriend/girlfriend-relationship. At least it would be, wouldn't the guy or robot be posing as such while really being a girl.
Also again: soundtrack similarities. It really is clever, to produce a few good pieces to put them into multiple dramas!
Same goes for the Liar and his lover - just confusing, that in both dramas the same song is "composed" by the characters, otherwise it could be called "same universe".

It is not so much the storyline, but the music that overlaps. The music "written" in the storyline of "The liar and his lover" is even played by street musicians in "I am not a robot". It is probably the only overlapping song, since TLAHL is a music focussed drama and IANAR only has background music, but maybe it is the production, too, I just think, if you liked the one, you might like the other, too. Give it a try.

Brother and sister grow up in a poor environment and learn to depend on each self at a young age. Always trying to ease the burden for the other. But the siblings are not related by blood, but one is the spouse of a rich household.

both main couples are separated for 6 or 7 years and could not reunited due to misunderstandings. In both dramas, they have to rebuild their trust, among other things by a married life with each other. In both dramas the male lead is a successful lawyer. Although they are different dramas, they have their similarities, so you might like the other.

In Autumn's Concerto there is much more about the history from when they got to know each other in the first place and there is a bigger part of the ML having to grow up and find himself, while in My Sunshine he is practically already grown up as a student.

Both dramas are about a resolute secretary and her domineering boss. Both play mainly in the office, where other coworkers are present. Both secretaries are similar perfect (and always wear a ponytail), both bosses have a similar silly way of being in love. In both dramas, the couple knows each other for quite some time, including private things.