Re:Birthday Song - Koi wo Utau Shinigami

That song is an offering from the Reapers - a Requiem - very near the boundary between heaven and hell where one's soul returns to. In that place is a school in which Reapers - beings that collect human souls - are developed and trained. Assembled as "Reaper Cadets" at this school are the protagonist and her peers who were once human. There, all possessing the same aspiration of becoming a Reaper, cadets pair up with one another to study in order to become a fully fledged Reaper.

Résumé

Kokoro, wasn't selected by anybody to be her partner as she performed poorly in all disciplines of Reaper study. As a result, she was grouped with other cadets that were falling behind, and was made to take special supplementary lessons. The other attendees of these supplementary lessons are fellow Reaper cadets. It's filled with unique guys, all with their own reasons for attending the school.

Kokoro must choose one of the boys to become partners with, however... With her partner at her side, will she be able to become a full fledged Reaper?