According to Neowing, a three-volume OVA series of Bungaku Shoujo was announced. The title is "Bungaku Shoujo Memoire" and the prequel to the upcoming movie will be told by three main heroines.
Memoire I: Yumemiru Shoujo no Prelude, featuring Amano Touko Jun 25th
Memoire II: Sora Mau Tenshi no Requiem, featuring Asakura Miu Oct 29th
Memoire III: Koi Suru Otome no Rhapsody, featuring Kotobuki Nanase Dec 24th