Amnesia - full or partial memory loss - can be a fascinating subject in manga. If the idea of a character forgetting important parts of their life makes you sit up and take notice, you should check out these great amnesia manga.
One noteworthy example is Battle Angel Alita be Yukito Kishiro, which follows an android who has no recollection of her original purpose, but does know that it involves mercinary work. If you're looking for something a little more focused on human relationships, you might enjoy Golden Time by Yuyuko Takemiya, which is about a college student who lost his memories in an accident. As he tries to build a new life with his new personality, the vestiges of his old life crop up and make things complicated. As you can see, there's amnesia manga in every genre.
source: rankeranime