Chicken Nugget

Both directed by Lee Byeong-heon.
Both starring Ryu Seung-ryong as main character running fried chicken joint.
Both contains mystery and comedy.

An innovator's 'soul' ends up in a mobile phone that a random guy picks up. Not as crazy as Chicken Nugget, but similar sort of premise.

Also an absurd situation. The school nurse is the only one who can see the 'jellies" creatures that are invading her school and causing mayhem.

It tells the strange story of how a beautiful young girl, Choi Min Ah, turns into fried chicken because she happens to enter a mysterious machine. It follows Choi Sun Man, her father, and Go Baek Jung, an intern, who join efforts to turn her back to human and discover deep dark secrets in the process.

Eclectic personalities, exaggerated physical comedy with music frequently incorporated, silly humor by top tier cast members. Wordplay central to much of the humor.
Pegasus Market has a lot of social commentary built into it and tells a deeper story than the silly facade implies. Chicken Nugget does not have any such aspiration. ;)

The direction style is very similar in particular, and the over the top humor, “weirdly wonderful” seemingly the goal, is prominent in both. The stories are both workplace settings, and the characters are extremely… quirky.

Lee Byung Hun is the screenwriter and director of both, and Ahn Jae Yong is the ML in them. Chicken Nugget makes some amusing references to Be Melodramatic including playing the Shampoo Song (one of the 7+ versions) from it. There is wacky comedy in both though Be Melodramatic has much more serious content as well, Chicken Nugget sticking to the goofy comedy.

Both starring Ryu Seung-ryong as main character running fried chicken joint.
Both contains mystery, Fantasy, Sci Fi.

Both starring Ryu Seung-ryong as main character but her daughter is running fried chicken joint.
Both contains Comedy, Fantasy.

Both have a fever dream vibe. You'll be questioning why you're watching a lot of times, but comedic timing and type are similar. You will love these only if you start with 0 expectations because they are wack.