I know, right? I was a fan from the original comics, but I love the little furry bastard even more now.
It's the little quiet moments that get to me too.
Rocket all wet after the prison wash down, where Quill glimpses all the stuff that's been done to his body. It gives his drunken anguish over his existence later even more weight.
Rocket sobbing over Groot's remains, and Drax just quietly sits next to him, and starts petting him softly.
I don't think even Star Wars made me want to cry. Damn you, James Gunn! ;)