Bakemonogatari

Araragi Koyomi is a third year high school student who is almost human again after having briefly become a vampire. One day, a classmate named Senjougahara Hitagi, who infamously never talks to anyone, falls down the stairs into Koyomi's arms. He discovers that Hitagi weighs next to nothing, in defiance of physics and common sense alike. Despite being threatened by her, Koyomi offers her help, and introduces her to Oshino Meme, a middle-aged homeless man who helped him stop being a vampire.