My boyfriend is pretty shy sometimes and I just find it cute. Plus it's better than having someone who is too cocky.
He gets shy to ask me certain things, blushes if I compliment him, lay on top of him fully clothed to hug or if he see's me with no top on. He even blushed when we kissed for the first time even though it was just a closed mouth one. Sometimes if he gets shy he'll just go quiet, not look at me and just nod or shake his head if I ask a question. I just find it really cute.
I get shy also and blush at things, hide my head in his shoulder and not speak or look at him if I'm embarrassed and just get quiet sometimes when he compliments me or winds me up about something and I don't know how to respond so I can't say much about him being shy lol