Dear My Name has a concept where everyone in society are separated into 'named' and 'unnamed', meaning that people who have destined soulmates have the name of their soulmate engraved somewhere on their body while the 'unnamed' don't obviously.
It's completely different from Love Alarm but somewhat similar feeling since it involves a love triangle between friends and something that dictates your love-life.
Dear My Name (2019)
Similars
Both are korean webdramas about soulmates.
Color Rush is colorblind soulmate AU (=one of the main leads is colorblind until he meets his significant other)
Dear My Name is soulmate-identifying marks AU (=everyone has a name of their soulmate written on their body).
Color Rush is a BL drama. Dear My Name is a hetero drama with female lead being quite tomboyish.
This web-series is nothing like 'Coffee Prince' at all. Only similarity is that ML mistook the FL as a guy and started to fall for him(her).
From the same channel and with a similar short movie like format, Broject has a completely different theme but for those that enjoy light "crime" and funny stuff, you could give it a try.
Both are cozy short Korean dramas, set in school at the beginning, and focusing on soulmates (DMN takes this in a fantasy way). ML initially seems distant to the other ML or the FL.
Both dramas take place in alternate worlds where people are linked to their soulmates by a magical tattoo. In the case of Dear My Name soulmates' names appear on each others bodies. In the case of To My Puzzle Pieces a jigsaw puzzle piece appears that will only fit with the one on your soulmate. Things get complicated when exceptions to these rules appear and your soulmate is not what you thought they would be.