Love & the Emperor (2020)

Both are set within the world of a historical game with the FL trying to accomplish tasks to return to the real world.

The main female lead travels from the future time to the past historic time via technology-virtual reality in order to experience love

Both are dramas about a real world FL who enters the world of a historical game/VR where they find true love.

Both are set within the world of a historical game with the FL trying to accomplish a task to return to the real world. Both MLs are royal.

Both dramas are about the FL entering a historical game/VR setting. Both MLs are royal.
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Both dramas have one of the leads entering a VR/game historical world in which they must accomplish tasks/earn points to return home.

Despite differences in plot (L&tE has fantasy elements), FL is a servant who falls in love with royal ML. Their relationship is sweet and lovely and the plot has many fluffy moments with some serious ones.

- a female lead who travels to a place with an emperor
- an emperor who admires the female lead
- a male lead who falls in love with the female lead
- a story where there is a happy ending

You can watch "Love & the Emperor" with English subs here:
https://productiveprocrastination.site/category/love-and-the-emperor/

I recommend this both drama because , Male lead and Female lead
try to solve problem
In one drama explosion and another student murder/suicide

- an emperor falls for the female lead
- the male lead admires the female lead
- the ending is happy

You can watch "Love & the Emperor" with English subs here:
https://productiveprocrastination.site/category/love-and-the-emperor/

Both have a real world FL entering a historical setting game world and falling in love with the emperor ML who is a fictional character in that world. Both FLs complete the game and return to the real world, but out of love for the ML they choose to return to the game and spend their lives with him.

In both, the FL enters a VR historical world in which she meets the royal ML
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Both are mostly light dramas with a similar feel. The FL is from another world and arrives in the historical/other one in the body of an "ugly" maid vs. "ugly" concubine. ML is royal in both.

In both the protagonists enter a game to live an adventure...............................................................

The two dramas are an inversion of each other - one is a real world person entering the world of a historical game, the other is a person from a historical game entering the real world.