The comedy style is similar to that of "I Am Nobody". Also, in both dramas the main characters have powers and go through a journey of self discovery. "Oh No! Here Comes Trouble" deals with more serious themes, although "I Am Nobody" also has its fair seriousness sprinkled on.
These variety shows have a similar trope. In both, fathers are the ones who are responsible for the childcare of their children.
Both have a time travel theme where the main female character ends up in a time when there is a fierce power struggle for the throne.
In both specials there are female ghosts who haunt a man until secrets are revealed.
I guess I could say... Both of these movies try to ask the "Are monster born or made?" question.
Both are dark and violent films which showcase a new side of their main actors.
In both dramas, there is a girl who is an expert in one area, Math in Hard Nut and Weather in Otenki Onee-san, who help out detectives solve crimes using their area of expertise.