Love this game! The first description sounds like Boys Over Flowers—classic arrogant pretty boy failing to win the girl’s heart, but eventually getting there. As for the second one, sounds like My Love from the Star! A girl falls from the sky, meets a hot guy, and the rest is history. 
By the way, if you’re into fun and casual games, you should check out the Car Parking Multiplayer MOD APK at modcarparking.com for some cool gameplay in your free time!