One Week Friends
一週間フレンズ。 (original)
High school sophomore Yūki Hase noticed that Kaori Fujimiya, his classmate, was always alone. He tried to start a conversation with her but was turned down: "My memories of friendship can last only a week," she said. Despite of knowing this shocking truth, Yūki keeps trying to be Kaori's "new" friend every week.
Starring Yoshitaka Yamaya, Sora Amamiya, Yoshimasa Hosoya, Rumi Okubo, Shintaro Asanuma, Mai Nakahara, Junji Majima
It's a animation and drama show, and has a rating of 7 out of 10 from Imdb which is usually fine for this kind of show.
Watch it here
Not found streaming from United Kingdom.