Queen In Hyun's Man (2012)

Both dramas are about a historical ML(s) finding themselves in the modern present day and adapting to the world with the help of the present day FL.

Jang Joon Hyun is a talented and popular musician. He looks down upon the traditional trot music genre. Meanwhile, Choi Chun Hee works multiple jobs as the breadwinner to support her father and younger sister. Her mother was a trot singer and she inherited the voice, along with hopes of being a trot singer herself someday. A romantic relationship begins between these two individuals.

If you like both kdramas and cdramas and you like historical romance with time travel, then you might like both of these dramas.

Time travel, trying to change a character's fate. Both are Korean shows with historical and present setting as characters move back and forth in time.

Time travel, trying to change a character's fate. Historical and present setting as characters move back and forth in time.

Both have the time travel genre, although there are some differences. In Moon Lovers, the girl travels back in time and in Queen In Hyun's Man, the guy is from the past and has the ability to travel to the future.
Both have historical elements (Moon Lovers has a lot more).
The romance is very satisfying in both of them. No tragedy in this one. Maybe some tears...^^

High school graduate Gong Xi gives up her chances for university in order to support her childhood friend and romantic goal, Bu Po Shang, in his pop idol career. Upon arriving in Taipei, Gong Xi starts working on multiple jobs in order to support Bu Po Shang, whose popularity quickly rises, eventually becoming one of the top idols in Taiwan. One day, Gong Xi catches Bu Po Shang flirting with his manager, and learns that he only used her so she can help him with his living expenses. Heart-broken and betrayed, Gong Xi vows to get revenge by becoming a bigger star than him. Gong Xi auditions for L.M.E., Bu Po Shang's rival talent agency, and joins L.M.E.'s new-found department "Love Me". At L.M.E., Gong Xi meets famous actor Dun Helian, who eventually falls in love with her. ~~ Adapted from the manga “Skip Beat!” by Nakamura Yoshiki

Both have similar vibes and a sweet romance that transcends class (and time) along with palace intrigue and dangerous enemies.