I'm looking for a romance manga where the male is older than the female. Female is a bit childish but not the annoying type. Male is not that sociable yet he's seldom sweet and a bit possessive towards the female. I hope the manga is finished. I'm okay with supernatural but not fantasy. And no ecchi please.

I've read sensei! , Koukou Debut , and Kiss (Matsumoto Tomo)

Thanks....