My Perfect Stranger

While this one seems more lighthearted in a way, Come and Hug me has the same FL lead and its crime heavy. While there is not time travel involved, I think the style and telling of these dramas are similar. Come and Hug Me is a more angsty slow burn however, I think they are pretty similar so if you haven't you could always give this one a try!

FbC is not a time travel drama but if you love park dal's
character, you should watch this. The same actress has similar soft innocent and lovable character

~ This story is also about time travelling
~ The protagonist fall in love with eachother
~ They change their future
~ Interesting storyline
I personally think these shows are quite similar as they include same genre

Both shows feature the younger generation heavily involved in uncovering or altering the tragic timelines of their parents (or parental figures). Both uses dual timelines, In "My perfect stranger" the daughter time travels into her parent's past timeline.
Both features the suspense and mystery elements as catalysts for the plot and MPS shows less traumatic events compared to TL with solid happy ending.

both are filled with suspense, twists, and different time portrayals. Both the male leads look for the criminal of serial killings of the past.