Kururi 〜Who’s in Love with me〜

If you are looking for a similar story, about memory loss. And there are elements of romance & drama. Kururi: Dare ga Watashi to Koi wo Shita? is one of the choices.

The similarities range from the story, the characters and probably the rediscovery path of the FL It's interesting to see how she recaps her memories and at the same time creates new ones with people that "know" her before the amnesic.

Both dramas start with the main character waking up from a coma with amnesia.
The two main leads can't remember who they were, their family members or where they lived.
There is a mystery behind both characters, and we know as much as the character does, so the story will reveal itself as the episodes go by.