Only a couple of songs have actually made me cry:
ASFFX didn't make me cry until I read the lyrics. They were so emotional and even the title allows you to put someone of choice in that place, I immediately thought of my own momma like Ayu was speaking of hers. It was the most beautiful thing, I'm actually getting teary now, lol.
Days was the first time I saw Ayu cry in PV (I had just recently became a fan) and she looked so pitiful, it really got to me.
There are Ayu songs that DO provoke something in me when I hear them though not enough to cry but are just heavy:
Rainbow (I do occasionally tear up on this one)
Because of You
Hanabi ~episode 2~ (This one also almost brings me to tears)
momentum
forgiveness
(don't) leave me alone
Powder Snow
Voyage
appears
Next Level