Both have the same male lead and both are very meritorious but fictional tales. One great difference between the leads of both shows is that in The School Nurse Files the leads are more friends overall and even though compassion is shown for each other, it isn't elaborated on. Whereas in Abyss the two leads do end up in a relationship.

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The same leads, definitely for people who liked the chemistry between the two will enjoy watch the undateables.

Both drama showcase a strong romantic connection between the "technology made human" and an anonymous girl. Then later on the actual human who inspired the bot comes and causes conflict. Both these shows are very similar in many ways.

Both shows are comedy suspense, in Psychopath Diary a man must solve his own mysteries just like in Catch the Ghost, where a girl is trying to solve her own mystery. Both shows will send chills down your spine as well as making you laugh really hard. I highly suggest both if you enjoy crime-comedy types of dramas.