Discovery of Romance the FL is very active is her relationship(s). This seems to be a trend with this actress so maybe check out other dramas.
Oh My General, period drama, she is the general and he is the beautiful prize husband
A Business Proposal this is more about the 2nd couple, but I only suggest them because they get a ton of screentime and their story is almost more fleshed out than the leads.
The Master's Sun
Love Is Sweet
My Love from the Star Sassy and self involved FL paired with calm and somber ML
My Girlfriend is an Alien She is always grabbing and running after him, while he does all he can to put boundaries but fails at it.
Chun Cheu Bussaba or the original version My Lovely Sam Soon . He s the one pursuing her, but she s NOT shy and when she gets interested she will turn around and chase him too
Nice Witch it is not that the FL is pursuing him, it is more that the ML is a HUGE prude, and because of a misunderstanding he feels like she is pursuing him and he needs to protect his virtue.
Devilish Joy this is done in a very mature way, two adults who are attracted to each other.
Lucky Romance she is pushy and tries to push down his boundaries
Lost Romance I dont like this drama but it fits into your description
Heart to Heart I am not done watching it but from what I saw this goes the mature, consenting adults route
My Father is Strange the older sister is tigress haha.
Scent of a Woman this is also about consenting adult. This actress tend to do this kind of roles, adult women who know what they like; also check out I Do, I Do, she is older and more experienced.
Begin Again gender reversal of the classic overbearing CEO meets kind and beautiful but poor maiden
Encounter this is a low burn romance; also a reversal of the older CEO meets kind, young intern
Hi My Sweetheart if you can take taiwanese comedy this could fit. gender reversal of the bad boy meets the nice girl
The Beauty Inside Mature adults, but she is way more touchy
