Here are some borderline cases (all k-drama):
Reply 1997: Male lead doesn't necessarily get rejected but gives up in the beginning because his brother ends up asking the female lead for to be his girlfriend first. but he confesses later on and she has feelings for both and you'll have to watch it to the end to know who she'll end up with.
Definitely a classic worth watching!My Love Eun Dong: Female & male lead were a couple when they were younger, but then stuff happened and they were separated. male lead keeps looking for female lead and eventually finds her: married with a kid and apparently no memories of him. That doesn't stop him from trying to get them back together though.
I loved this drama so much, especially the kids/teenage years!It's Okay, That's Love: Male lead is the first to be interested in female lead, she is distant at first though, but they end up together.
This drama doesn't have the "break" between characters (in which they don't see each other/male is not pursuing female) which you seem to be looking for. It's a great drama (great theme, characters, & plot), but, personally, I wouldn't watch it for the love-story. Hope this helps!