This is Joshua Radin's gentle, soft rendition of Fly Me To The Moon.
This is a special song to me, because when my Aunt passed away just over a year ago, she had had end-stage cancer for a few months and had arranged her own funeral (typical Katy, she had to be organised!) and the brass band that she was in before she became ill again played this as the coffin was taken out. It was sad, of course, but it was a beautiful ceremony and really a celebration of her life.
In this cover, it's just Radin and his guitar, and his voice is just a bit hushed. I love this version, and I hope you will too.