I think the one that really made me cry, even without watching that particular scene from the movie, is an instrumental song called lit by Kensuke Ushio, from A Silent Voice...
I watched it, you definitely should give it a try.

Also...if you promise me to prepare some handkerchiefs, I recommend this:
It is long, but woth it, I promise.
...*cries*
And this is also one of the most emotional songs I ever heard, never cried more in my life:
I reached the last part of this game, straight into the final battle. You can marry in this game and even have up to two children. I was really attached to everything. And then I had to make a final decision in the end.
...Can't spoil it of course, but...yeah...
And this one too, the same game, but it gives you more of an empty feel:
for the preperations after tragic things happened. And then this:
for the actual fight. You have to also fight against an enemy who doesn't really want to fight, but he had to.
Moments and soundtracks like these are especially inspiring for my own stories. The feels...