Why don't you like Jaime?
Seriously, why would I like him?
1. He shagged his sister
2. As a result of the sister shagging he created Joffrey - one of the most revolting characters I've seen on the screen.
3. He killed a Targeryan king, what an ass.
4. He pushed Bran out of a window, crippling him.
5. He was the reason that Ned got his knee fucked up, resulting in an easy capture and death
6. He killed his own cousin
Those are off the top of my head, if I thought it through some more I could present you with more. The only thing I like about him is his disdain for politics, but that's hardly redeeming.
Jamie, Cersei and Lady Stark are the characters I want to die the most.