The prologue for ef - a tale of memories, released on a separate DVD two months before the premiere of the TV series.

Two love stories unfold in ef ~ a tale of memories. When Hirono forms a friendship with Miyako, his childhood friend, Kei, becomes increasingly jealous and begins competing for Hirono’s affections. Meanwhile, Renji meets Chihiro, an amnesiac whose memories only last for thirteen hours. When he discovers her dream of writing a novel, the two meet daily so that Chihiro can finally fulfill her dreams.

[Source: Sentai]

The prologue of ef - a tale of melodies.

Asou Renji comes back at the station with Chihiro, after the events of ef - a tale of melodies. They recollect various moments in this 'summary' of the first season of ef, with special new intermissions.

[Source: Animeka]

Shuichi Kuze’s been spending time with Mizuki Hayama and as they’ve been getting to know each other, they’ve been growing closer. Sadly, Kuze discovers that he’s contracted a fatal illness and decides to break all romantic ties for the little time left to him. Before he can break things off, however, Mizuki tells him that she loves him. Will her declaration change Kuze’s mind? In another city, in the not so distant past, Yuu Himura meets a girl who seems to know him, but he doesn't know her. Soon enough, however, he remembers Yuko Amamiya, a girl he met long ago, and begins to rediscover the depth of their feelings for each other. Will Yuko’s love reach across time to find her true love once and for all?