Recommendations

Similarities:
Each has a doctor as a lead plus some of the support.
Male chases female first.
All misunderstandings are resolved fast and without dragging.
Has romance and comedy.

Both dramas deal around the concept of artists that paint and help solve crimes with their skills. While Sketch has a supernatural aspect to it and Under the Skin focuses on a forensic artist, they both are very interesting and follow unique concepts.

Like episodes 3-5 in Adult Trainee, 9 End 2 Outs is a story of friends to lovers.
They are in different age groups, but the friendship is the same, and the romance is very lovely.

who doesn't love handsome doctors and pretty female leads?
if you liked one of them ,you might like both!

Both the Deer and the cauldron and Demi Gods and Semi Devils are jinyong's novel, tbh some of the martial art in Deer and the cauldron is from Demi Gods and semi Devils but much much weaker, even jinyong himself said it. Most of the casts are similar especial the actress are almost the same and male lead Han Dong. The director for both of this Tv series is Samson Lai Shui-Ching and he also acted as "Ao Bai" in The Deer and The Cauldron and "Wang jiantong" in Demi Gods and Semi Devils

Demi-Gods and Semi-Devils is a prequel story to the Condor Trilogy as the Northern Beggar of the Five Greats, Hong Qigong succeeds Qiao Feng as the new chief of the Beggars' Sect in The Legend of the Condor Heroes and Duan Yu is the fictional ancestor of the historical character Duan Zhixing

Demi-Gods and Semi-Devils is a prequel story to the Condor Trilogy as the Northern Beggar of the Five Greats, Hong Qigong succeeds Qiao Feng as the new chief of the Beggars' Sect in The Legend of the Condor Heroes and Duan Yu is the fictional ancestor of the historical character Duan Zhixing

it's a realistic story of a couple who juggles between their love life also their career, trying to survive life as a beijing drifter

In both, the profiler plays an effective role in discovering the truth through the analysis of criminal psychology and examining the role of the environment in criminal behaviour.
In both, the viewer closely observes the criminal's daily life and behaviours.

Both dramas are about crime and criminal investigations. In both viewers can observe the behaviour of criminals.

princess of Jia Nan grows up in the palace since childhood. She remains carefree despite knowing that there is no freedom within the palace walls and does not want to be used as a puppet.

Thus, relying on her own ingenuity, she resists the fate of becoming a tool in the inner palace fighting.

Li Qian, a guard of the Imperial Army, wants to understand the truth behind some events many years ago. He works hard to seek a higher position in the palace, just to get relevant clues.

They are two people with vastly different personalities who meet by chance and love each other. In order to reverse their own destiny, they work together, look forward to breaking through the barriers of identity and stay with their loved ones for a lifetime.

ML is both movies return to hometown.
They both get stranded in the island due to unavoidable circumstances.

Similar character setup story genre. The drama also focus more on the female lead's power over the male lead.

Both gave me the similar vibes....in both main leads are in college. One of them is bit shy in revealing their relationship in the beginning because of parents' while other main lead's family is open minded. One of their acquaintances causes misunderstanding between the main leads. In both the series, there is one common friend who knows about their relationship (in DBK its female friend but in TT its a male friend). At the end, its one main leads who clears the misunderstanding by his tactics. In both, the main leads have awesome chemistry. Both are worth watching

a police team solving cases together
not a super thriller element to either of them
focus more on the science of the case than on entertainment
good to watch while eating dinner -- not too fussy or stressful