Harukaze Bitter Bop Vol. 1 by Court Betten

Main Character: High-school student Chiyoharu Hasumi and friends
Location: undefined
Time period: Contemporary
Genre: YA Manga with fantasy elements

This is only the first volume, so I'm not quite sure where it is going. It's the start of a new school year. Hasumi is headed towards school where he hopes to start with a clean slate, but as he approaches the train station, he sees a large young man who smiles at him and then jumps in front of the train. Hasumi freaks out. Just then, Kaede Tsubak pops up--she, too, is also a high school student heading for the first day of school, but she's also an undercover detective, who immediately accuses Hasumi of killing the other man. And then Hasumi really freaks out because the man, who by all rights should be dead, gets up. He says his name is Souza of the North Wind, but other than that he can't remember anything about himself. It wasn't the train accident that gave him amnesia--he stepped in front of the train to try to cure it.

From a note at the end of the book, I gather that this is filled with in-jokes that refer back to other very popular series--such as Dragonball. Since I haven't read a lot of those series, most of the jokes have gone straight over my head. However, I liked this enough to want to keep reading it.