So, "Sad but beautiful" oddly both vague and specific. We each have a song that comes to mind immediately, but upon further review, we realize that there are so many more songs we know that could apply to that description.
Slow took any that I would have posted, but there is one that, while personally it doesn't make me sad, but rather puts me at extreme peace is this, the acoustic arrangement of the Main Theme of Kaeru no Tameni Kane wa Naru, which was a Japan-only Game Boy game:
This song was released on the Peach Healing Music CD over Club Nintendo some years ago...
I'm absolutely in love with this song.