The Story of Ming Lan - Family politics / actual politics / managing the household of a noble family.
Accidentally in Love - Mainly drawing, music composition, and playing the piano and zither but she also has straight As and sense of entrepreneurship (she starts an errand running / delivery service at school).
Mr. Sunshine - The world thinks she's a delicate and sheltered noble lady, but she's a talented sniper and leader in the rebellion against Japanese occupation.
Moon Lovers: Scarlet Heart Ryeo - Go Ha-Jin is a girl from modern times who wakes up in the body of Hae Soo, the quiet and insignificant cousin of Prince Wang Wook's wife. She surprises the court ladies with her skill in making soaps and skin care products from scratch, she helps another prince to hide a prominent scar with her make up skills, and she charms all of the princes with her singing. Also maybe not a skill exactly, but she's good at enduring hardship and taking her fate into her own hands (e.g. scarring herself so she was ineligible to be married to the emperor and taking the consequences for that action / choosing to leave the palace and Wang So when he became to focused on gaining power).
My Mister - She is an entry level temp who is cold to her colleagues but when she's pulled into corporate espionage and sabotage she proves to be too good at it - at the expense of her underhanded "boss".
Lupin no Musume - The FL appears to be an ordinary, mild-mannered librarian, but was raised to have all the skills of an elite thief / cat burglar.