The Boyfriend Who Can't Kill and the Girlfriend Who Won't Die (Japan), also known as Korosanai Kare to Shinanai Kanojo is Japan drama
The drama revolves around the relationship between Rei Kosaka (a tsundere guy who easily gets worked up and who always says, "Just die already") and Nana Kano (a girl who habitually cuts her wrists and who always says, "I want to die.")