The Anime Lad
Yuki wants to befriend Kaori, the quiet classmate who keeps others at a distance. She explains that memories involving her friends disappear after a week. Yuki accepts this inconvenient condition and begins the friendship again whenever the previous week's connection is gone, with deliberate patience.
Super Eyepatch Fox
Ask Kaori to be friends. Learn that memories of friendship disappear after one week. Return and ask again. One Week Friends builds its drama from repeated introductions, giving ordinary school contact unusual importance when only one student can carry it forward. Trust must begin again.
Gigguku
Kaori warns Yuki that friendship with her comes with a weekly limit, and he keeps showing up anyway. That sounds simple until each return makes the previous connection feel fragile. The premise turns ordinary kindness into a deliberate act that cannot rely on shared history.
Father's Basement
Selective memory loss is an obvious tool for emotional pressure, and Yuki's persistence can risk ignoring Kaori's boundaries. The useful part is the repetition. Friendship cannot coast on familiarity, so each new approach must earn enough trust to matter on its own on each attempt.