Aono-kun ni Sawaritai kara Shinitai

Yuuri Kariya is an airhead who falls head-over-heels in love with Ryuuhei Aono after their very first meeting. Yuuri's happiness knows no bounds when Aono surprisingly ends up agreeing to go out with her, and thus she starts to enjoy her perfect relationship with her perfect boyfriend. Alas, misfortune strikes when only two weeks into their relationship, Aono tragically dies in an accident. But is something as simple as death really enough to keep the two lovers apart? (Source: MyAnimeList) ~~ Adapted from a manga of the same name by Shiina Umi.