I'll add Missing You (kdrama) https://mydramalist.com/5364-missing-you to the list.
https://mydramalist.com/search?adv=titles&ty=68&th=2973&so=relevance
Obsessive Male Lead does have a tag, but only 5 shows have been tagged with it so far (most of us just think of 'school, medical, love triangle, death, ill-fated relationship' sorts of tags not the characteristics unless it's the too-common rich man/poor woman one... Hard to keep all the tags straight/know what IS a tag, even, but if you know any, by all means, tag them so the database can grow!
Obsessive SECOND lead has WAY more, ie My GF is a Gumiho, etc:
https://mydramalist.com/search?adv=titles&ty=68&th=595&so=relevance
Enjoy!