The N52 certainly is cloaked in controversy with the older fans but it's always great to see people that are enjoying it! I enjoy the N52 Batman titles and that's about it personally... The rest sort of put me off as well as many other fans.
But hey, if you like it then that's great.
I am at odds with Damian. When he was first introduced to me he was pretty much unlikable but he sort of grew on me as he tried to be a kind of person that was deserving of the mantle of Robin and partially Bruce's approval.
It was pretty hard for me to like this character when this was pretty much his defining expression for the first few comics he was in.

He kind of grew on me though.
I also like many of the female superheroes, one of my favorites being Cassandra Cain aka the Black Bat and in some comics Batwoman. There is also Kate Kane of which I am very fond of.