One More Time is also a time travel/loop story. In both dramas ML is related to music, but "OMT" ML comes back to the same day all over again to save his girlfriend destiny, while in "Lovely" FL goes back in time to stop ML's death from happening in the future.

In BOTH dramas the leads met when they were kids. FL liked ML, who rejected them. After years, they meet again and FL is very sucessfull and famous actresses, while ML has a common life. YAMG is a C-Drama, ML is an aerospace engineer and they meet again because of gamings. In "Beauty", a long drama, ML is an assistant and ends up working with FL

Another historical CDrama with identity swap: In "Romance" FL ends up assuming the place of a woman who is dentical to her, but evil. She wakes up after an accident in another kind of life and with a husband who hates her guts! (I mean, hates his actual wife, not this one - You've got it)

Another real recommendation: This Thai drama is also about identity swap between the good and the bad FL. A woman from the present enters the body of another woman identical to her, but she's known as a villainess and everyone hates her - including ML.
FL has a hard time until everyone realizes that the evil woman has "changed" (they can't imagine how much, since it's even another woman haha). Kind of similar to this CDrama.

Real recomendation: Also has identity swap. In "Crowned" there are 2 men basically identical to each other: one is the king of Joseon (Korea) and the other is a clown (literally). The clown ends up having to act as a substitute of the king, fooling the whole court, the country and even the queen.

Also face-swapping and double identity. In Jun Jiu Ling, FL is a princess and end up in prison, after some events, her friend dies and Jiu Ling ends up assuming her friend's face to flee from the palace traitors. With time, Jiu Ling now with a new face, comes back to avenge her supposed death and those who betrayed her family. "In Blossom" also has this premise: FL ends up assuming her enemy's face and tries to avenge not only her own death, but her family's as well.