In both dramas, a team is made up to catch fraudsters (taxes in 38 Task Force and insurance in Mad Dog).

Both the lead character are nutcase, also experts in their field (Accounting for Chief Kim and Law for Mr Jo) trying to take down a big firm rotten by corruption and malpractice.

Both these dramas center on spunky and sharp-tongued young girls. We also see their family dynamics and friendships.

One gets a feeling of melancholia while watching these girls going through first love and navigating through their youth during a time that's long gone.

In both dramas we follow the lead protagonist as he get's hired in a big company. It's interesting because we get a glimpse of how a Korean company works (conformism, hierarchy...)
While Jang Geu Rae is not qualified for the job ang introverted, Chief Kim is talented and extraverted.

In each drama, the lead heroine is desperatly seeking a husband.

Both dramas centers on socially awkward characters and their desire for a domestic life.

Both dramas centers on marriage and the heroine's desire of domesticity.

In both dramas, the leads work as news anchor. We see them in their work place in most of the drama and can have a glimpse of how things work in this field.

One drama is a comedy/romance while the other is more of a drama with some comedy and romance.

The two drama show the struggle of a Crown Prince who has to deal with court intrigue.
The Crwon Prince/King has to deal with an "impossible" love in both case.

Both movies deal with cases of bullying at school which lead to tragic events. Both have an emphasis on the victim's families quest for truth.

The movie and the drama depict how a young woman is going to lose weight in order to get what she deserves.

In both the dramas, the female lead changes from an ugly duckling to a beautiful swan. The women are strong willed and confident which also contributes to attract the male lead.