What's the problem with Catelyn? That "Catelyn is an idiot" thread is a bit much. Personally I see her as a bit naive, she does some stupid things but I can see why she does them, like letting Jaime go. Her attitude towards Jon put me off her a bit, but again I can see why she didn't like him. She probably should have taken her anger out on Ned, as Jon didn't ask to be born (we're going with the official storyline here), but I suppose it's easier to take it out on a young boy you barely have to see than the husband you have to obey and sleep next to at night. I think she's torn, and doesn't know how to act in the best interests of everyone around her. I can't imagine how it would feel to have one child crippled (then thought to be dead, with the youngest), another a king, and her two girls (so she thinks) kept captive by the family she hates the most, not to mention your husband killed by them as well.
I love Arya, for obvious reasons. She's feisty, brave, a bit reckless, tough, everything I wish I could be in times of struggle. She just does what she needs to do to survive, and for a young child she's pretty awesome.
I really like the Hound, actually. I know this won't be popular with some, and that he's a murderer, but he had a tough childhood and he's not as evil as he first seems. He has some good in him, and he's brutally honest, for which I respect him.
Tyrion is amazing - again, might not be popular, but I think he's such a brilliant character. He's been treated like shit pretty much his whole life, for no other reason than being born. He's intelligent, funny, witty, and just wants to be accepted and loved. I thoroughly enjoy his chapters.
I like Jon much better in the later books, for his bravery and the scenes with Ygritte.
With Dany, it's the opposite. I really liked her in the beginning; I saw her as brave and strong, similar to Arya, the perfect heroine who would do great things. Then I think her chapters went downhill, probably starting with ASOS.
I have to disagree about Davos, though I enjoy his POV much better than I did the first time round. He almost seemed insignificant at first, and I was like "who the hell is this Onion Knight?!", but I do like how he was raised up from nothing, he remembers where he came from and how he got there, and he does his best to do the right thing. There aren't very many characters like him, but I'm still a bit ambivalent towards him.
They're the ones that spring instantly to mind. If I wrote about them all, it'd take me about 3 years