Recommendations

Time travel, characters move from past and present. Both Korean shows, characters try to change fate. In the end, historical character ends up in present day.

Time travel, characters move between past and present. Both are Korean shows. ML feels hopelessly resigned to his fate until he meets the other (ML or FL).

Short length drama, time travel, characters move between past and present. Focus on the arts (painting vs. music).

Time travel, trying to change a character's fate. Both are Korean shows with historical and present setting as characters move back and forth in time.

Time travel, trying to save someone from their fate in the past. Characters move from present and past. Light tone and short length.

Time travel results in romance between ML and FL. Similar tone, especially in the lighter moments. Scenes set in past and present.

In both dramas there are:

Two male characters both linked to the same Chaebol,
Two female characters
The chairman of the Chaebol is the same actor in both dramas.

Also there are some similarities with the plot :
The husband of one of the female characters dies in a car accident early on, the Chaebol is
involved.
One of the female characters founds herself with a child that to take care of.
The female characters who takes care of the child ends up working in the Chaebol.
The female characters with a child has a big family to rely upon, they are the side characters.

Difference plot but common themes of murder, loss of family, and a desperately needy couple who cling to each other when the world turns against them.

Characters body swap and become more confident in their lives as a result. Hilarious and comedy and more serious moments. Offbeat but fun ending.

A lonely human with no friends saves a cat who can shift to human form who then changes his life. Cute ears pop out of human's head at times. Cozy feeling. In Make A Wish, the ML runs a bookstore, in Meow Ears Up he is a webtoon artist which is similar.

Comedy mixed with drama. Someone tries to abduct the mermaid and the human must rescue them. Romantic relationship between a human and a mermaid. The mermaid ends up leaving, then returning at the end for a happy ending.

Relationship between a cat and a human begins when a cat is discovered abandoned outside. Warm, cozy feeling with a thread of loneliness.

- Same screenwriter and it shows in her trademark quirky characters, setting/worldbuilding and situations.
- Tonally FNOS is much lighter and more comedy focused, but both shows share the well-executed mix of genres blending together to a well-written story.
- Ghost seeing and communicating ML instead of FL being the one
- Evil spirit Antagonist with ties to ML/FL
- Past Life Fated Love story
- In MPUB it was FL who was seemingly cold and distant but actually cared a lot about others. In FNOS it is the ML.
- Ghost employees, magic, shamans exorcising evil spirits, a grim reaper and 2000 yrs old general in best quirky MPUB fashion
- Close-knitted group of unlikely people solving murder cases with otherworldly help and saving the day
- a really cute, first love slow burn romance between the leads, akin to Kang Bae and Yeo Rin.
- a lot of supernatural shenanigans, sometimes of the creepy kind, mostly tho of the chaotic, funny kind.

In The Sound of Magic the FL, who is unhappy due to unfortunate circumstances in her life, befriends a Magician who begins to teach her magic. Similarly, Moorim School revolves around a group of students who attended a mysterious school due to having mystical powers such as magic.

Both dramas have a similar feel due to being fantasy based with the characters having inexplicable powers.