I Give My First Love to You (僕の初恋をキミに捧ぐ) (2009) - Boku wa Kimi ni Koi wo Suru (僕は君に恋をする)

Takuma knows that his life is shorter than the others and he feels that his demise is getting near. He chose to stay away from the girl that he loves so that she can easily move on. What he didn't know is that he is under-estimating her.