Do you wish for tomorrow?
is a 2001 Takemura Sessyu Science Fiction
Akada is your average guy.
One day, a girl in his grade named Shiina takes him to a mysterious place and asks him confusing questions about the future and past. Akada refuses her and runs. Shiina's friend Natsumi explains to Akada their situation. She wants him to help fight the ones who want to stop tomorrow from happening. Akada first says he won't help because the problem has nothing to do with him. He eventually changes his mind.
In the 25th hour of every day, a battle takes place. Two sides are made up by a select chosen few for each team. One team fights to preserve memories of yesterday, and the other team fights to ensure that tomorrow will come when the sun rises. Who will win?
Tropes in the manga: