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.
366 Nichi and First Love: Hatsukoi? have similarities because both dramas are based on a song. "366 Days" is adapted from the title (366?) by HY and "First Love: Hatsukoi" from "First Love" and "Hatsukoi" (??) by Utada Hikaru (??????).