Can I just say how much I loved your title? It's the ultimate clickbait (in a good way).
I'll answer the second part first--dramas where the FL's former lover causes drama:
My Sunshine (cdrama)
General and I (c-drama--not really a lover tho)
Too Late to Say I Love You (cdrama)
Hundred Years Inheritance (kdrama)
Oh My Lady (kdrama...barely barely fits)
As to the first part--the female lead is a player before falling for the male? Yeah, no. The way I see it, more than murder or fraud, the worst crime these female leads can commit is not being "innocent", much less having more than one past partner. Case in point, the examples above are all ex-husbands/fiances. So if there are hits, please post them, yeah?