Both are romances with an age gap between the main couple (younger ML and older FL).
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Both are age gap romances (older FL and younger ML) who are connected due to a traumatic event on the day they met years before. In both dramas, the one responsible continues to be in their lives in the present day when they meet again.

Both are age gap romances (older FL and younger ML) who are connected due to a traumatic event on the day they met years before. In both dramas, the one responsible continues to be in their lives in the present day when they meet again.

Both are short dramas with an age gap between the leads, and past trauma that an adopted or step brother is responsible for.

In both, the ML is a fictional character and the FL a human from the real world, and the two meet when one crosses over into the other's world.

In both, the ML is a manga character. In EY, the story takes place within the manga, in MPBGMPB, the ML comes to the real world.

Both are short length series in which the ML (or both of the couple) are manga character(s).
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In both the ML is a fictional character (manga vs. story) who enters the real world and falls in love with the FL who has loved the character since she was a child.

In both, the ML is a manga character who enters the real world and the FL is a human from our world who has loved/been interested in the character since childhood.

Both are short length fluffy dramas where one of the leads (ML vs. FL) is a manga character who comes to the real world and lives with the other lead who is trying to return them to the manga world.

Both are short length dramas in which the ML is a manga character who comes to the real world and begins living with the FL who is trying to get him back to the manga world.

FL and ML have the same age gap in both dramas, with the younger ML falling first, but the FL viewing him as a younger brother for years before finally accepting him.