The first is an older women younger man drama something funny yet serious and has to have a cute ending. I've watched a lot of dramas that are in this category so help please :P. The second genre is a romance/comedy something like "Lie to me" or "Personal Taste". Thanks :)
Then I do, I do is perfect! It has an older woman (Kim Sun Ah) and a younger man (Lee Jang Woo)
It's more of a drama than a comedy, but It does have a lot of funny moments! In addition to the funny moments, there are a lot of heartwarming moments. I haven't finished it yet (I'm on the last two episodes) but people say that the ending is good. You won't regret watching it!
Aha I've seen both of those dramas :P
A japanese one (maybe not as funny as korean dramas) with Matsujun, for older woman younger man:
http://mydramalist.com/japanese-drama/15/natsu-no-koi-wa-nijiiro-ni-kagayaku
and for romance comedy : Nodame Cantabile and Hotaru no Hikari (both japanese). I haven't seen those you mentionned, so I don't know if it could fit your taste.