Definitely Mama Rochel sung by Yaakov Shwekey. First thing that came to my mind.
Also, Avraham Fried – Father Don’t Cry. I believe that is the name, about our Father (Hashem) crying , always moves me.
I also love Bilvavi Mishkan Evneh. Those words are so meaningful and powerful, I chose it at my wedding to walk down the aisle.