I'm recommending both dramas to each other because for me they are the masterpieces of Philippine Television. Both stories are not exactly the same though here are a few similarities:
=> written by Suzette Doctolero
=> part of the plot (specifically on the first part of Encantadia in the 2005-2006 version, this part Encantadia: Love Until the End is the third part) is about a girl trying to adjust to a strange and different world from where she's used to.
=> both have Dennis Trillo and Tirso Cruz III (Dennis and Tirso are in the second part Etheria though, not this third part)
Note: This specific Encantadia, called Encantadia: Love Until the End (Encantadia: Pag-Ibig Hanggang Wakas) is the third part of the 3 part series of the original Encantadia aired from 2005-2006.

I'm recommending both dramas to each other because for me they are the masterpieces of Philippine Television. Both stories are not exactly the same though here are a few similarities:
=> written by Suzette Doctolero
=> part of the plot (specifically on the first part of Encantadia in the 2005-2006 version, this part of Enca recommended here is Etheria, the second part) is about a girl trying to adjust to a strange and different world from where she's used to.
=> both have Dennis Trillo and Tirso Cruz III (Dennis and Tirso are in this specific second part Etheria)
Note: This specific Encantadia, called Etheria, is the second part of the 3 part series of the original Encantadia aired from 2005-2006.

I'm recommending both dramas to each other because for me they are the masterpieces of Philippine Television. Both stories are not exactly the same though here are a few similarities:
=> written by Suzette Doctolero
=> part of the plot (specifically on this first part of Encantadia in the 2005-2006 version) is about a girl trying to adjust to a strange and different world from where she's used to.
=> both have Dennis Trillo and Tirso Cruz III (Dennis and Tirso are in the second part Etheria though, not this first part)
Note: This specific Encantadia is the first part of the 3 part series of the original Encantadia aired from 2005-2006.

I know the two works are quite random, but they are two recent shows I watched that comprises of the male lead having a second chance at life and making better decisions at it, which included saving some of his family members.

Dramas are not similar but I'm recommending Arthdal Chronicles Season 1 for fans of Kim Ji Won as she was excellent here (as well as Song Joong Ki, who made a cameo here in Queen of Tears). Arthdal has 2 seasons yet Kim Ji Won appeared only in the first season. Season 1 is divided into three parts, of which this specific part is the third.

Dramas are not similar but I'm recommending Arthdal Chronicles Season 1 for fans of Kim Ji Won as she was excellent here (as well as Song Joong Ki, who made a cameo here in Queen of Tears). Arthdal has 2 seasons yet Kim Ji Won appeared only in the first season. Season 1 is divided into three parts, of which this specific part is the first.

Dramas are not similar but I'm recommending Arthdal Chronicles Season 1 for fans of Kim Ji Won as she was excellent here (as well as Song Joong Ki, who made a cameo here in Queen of Tears). Arthdal has 2 seasons yet Kim Ji Won appeared only in the first season. Season 1 is divided into three parts, of which this specific part is the second (this is the part where she performed her famous dance scene).

One of the main leads is riding a parachute as a hobby to escape family problems. The wind directed them and have them crash landed to an environment very unfamiliar to them. In this strange new environment is where our main lead met his/her future lover and where he/she develops a close relationship with not only his/her lover but the whole townsfolk living in that new environment. One half of the lead couple also each happened to be engaged to marry another person his family members wants him to marry which he did not love, main difference being that the one engaged in CLOY is the person who lives in the new environment while the one engaged in Forevermore is the guy who crash landed to the environment. The political situation of the two Koreas in CLOY is also another obvious difference.
It's also interesting that the actors playing the couples in both dramas are real life couples and that these two dramas are not the first time each of the two couples acted together. Each couple did a movie together (Forevermore couple - She's the One 2013 movie; CLOY couple - The Negotiation 2018 movie) where they did not play couples before these two dramas. Before the two movies, both couples also did projects where one-half of the couple is an important character in the project while the other one was a cameo in that project (Forevermore couple - Xander actor did a cameo in Must Be Love 2013 movie that featured Agnes actress as the third wheel; CLOY couple - Yoon Se Ri actress did a cameo in Secret Garden 2010 drama that featured Captain Ri actor as the main male character).

Both sageuks have important events that happened outside Joseon. There is also a non-Korean character in a high position in love with at one of the main leads.

=> rich, stylish and arrogant female lead falls in love with a non-human being who can live forever.

=> both are Kim Yoo Jung dramas
=> both Kim Yoo Jung characters fell in love with a man who has "demon" qualities

=> time travelling
=> the time traveller from Joseon lost his/her lover in his/her life in joseon
=> time traveller is looking forward to find his/her love in the modern era
=> Bonus: Both Han Ji Min (female lead in Rooftop Prince) and Lee Se Young (female lead in The Story of Park's Marriage Contract) once played Concubine Uibin Seong (beloved concubine of King Jeongjo of Joseon) in Yi San (2007 drama) and The Red Sleeve respectively.