HOKURO: Legend of the Hundred-Shot Disease (2003)

Popular radio personality Goro Yamatani lives recklessly off his growing fame until an encounter with the mysterious Momoyo leaves him suffering from a bizarre illness. A specialist tells him that the rare condition will gradually drain his life unless he can locate a woman matching an extraordinarily specific set of clues. With time running out, Goro launches an increasingly absurd search for the one person who may be able to save him.