Both drama mix real life and a fiction world
In EY there are characters who are in a comic and doesn’t realise
In both drama it is necesary to change the course of events.

Both dramas are set in Republican era.
Both Fl get into de ML family looking for revenge
Both are mini dramas.
Both couple have a good chemistry (I think the chemistry is little hot in The Captive)

Both are set in same period, Republican era.
Both female lead look for revenge and don´t trust ML at first.

Trhuth or Dare is also a period drama with crossed brides, althoug has less palace intrigues.

Both has an age gap with a FL older
In FIY The ML is more childish than SG male lead, but he is passionate and cute.
In FIY he is an sportsman and she is his trainer.

Both series has an age gap where de FL is older than ML. And both are romantic and sweet.
In both ML falls in love first and is warm and takes care of her.
FL is the boss and ML works for her.

Both dramas are about love from High school to adult age.
EF has less drama, in fact is a rom-com very funny
In EF male falls in love fist