The one character that bores me on Game Of Thrones is Bran Stark. He is a cripple and a child, so there isn’t really much for him to do. He’s not a character that can change the flow of the show or really do much. So I think with season 3 they would have to give him some interesting plot lines.
He is that character that is just “there” and that’s it. The only problem is, since he’s a cripple it’s hard to give him interesting plots. He can’t walk and has to be carried around everywhere. So you can’t have him fight in battles and can’t escape if he is captured.
So if anything you have to link him up with other characters that can do something. Last season they gave him a barbarian woman who is his slave and a 7 foot halfwit that carries him around. Also he is accompanied by his even younger brother. It will be interesting to see where the group of 4 goes this upcoming season.