Both are about a FL who travels to a historical era and must accomplish tasks to win the game and return home, falling in love along the way.

Both dramas are about a ML who comes from another world (the past/a manga) to the modern world. In both the FL can influence/change events by writing or drawing them in a book/manga. Both couples have a list of romantic things the FL wants them to do. Both MLs begin to fade away, starting with their hands going transparent/able to pass through things. There is also a villain from the ML's world who ends up in the real/present world.

Both are short, mostly fluffy Chinese dramas in which the ML comes from another world (a manga vs. history) to the present day, meets and falls in love with the FL who has the book/manga that allowed him to travel there. There is a villain from the ML's world who has also traveled there and is trying to kill the ML, forcing the FL in the end to write/draw the ML back into the book/manga to save him. At the very end, the couple are reunited.

Both are short, light dramas. In both, a main character enters the real/modern world via a magical book/manga. If the character spends too long in the real/modern world they begin to fade away. The difference is in EOB he's a historical time traveler, HL she is a character in the manga.

In both the ML travels from the past to modern day because of a magical book the FL has.
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Both are about a historical ML who time travels to modern day, meets and falls in love with the FL. Both have the modern day characters filming a historical drama as part of the plot.

Historical ML time travels to present day and meets modern day FL.
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Very different in tone and length, but both are about a historical ML connected to the palace and a present day FL who meet due to time travel.

Similar feel and tone, featuring a time traveling character between historical and present day with a historical ML and modern day FL falling in love.

Short length series about a time traveling lead who falls in love with a historical royal.
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Both are short dramas in which a historical ML time travels to the present day and meets/falls in love with the FL.

Both are darker, more intricate historical dramas with a similar tone and pacing. In both the FL's is originally the king's bride, but circumstances and political scheming result in her leaving the palace/being presumed dead. Eventually years later, she returns to the palace and returns to her position as queen. The ML in both is struggling against powerful people in the palace, all while trying to protect the woman he loves. Both stories have shamans.