I don't think it's fair to look at these characters as "bad" per se because of their actions.
Are there are any characters in the books who have not or would not arrange the death of someone if somehow benefited them or their cause?
Ned Stark was willing to sacrifice the lives of the three kingsguard and a few of his men in a battle to save his sister. Speaking in a pure utilitarian sense, the cost of several lives to potentially save one is not honourable or good. Ned Stark was willing to cut off Gared's head for abandoning the NW, merely because he knew it would as a deterrent for others to do so.
Was Jaime pushing Bran out of the window that bad? If he hadn't and he had let Bran go, he would likely have started a war. OK, I am arguing for the sake of it with this, but the point is, ASOIAF is a brutal, cut-throat world, where every character is willing to kill otherwise innocent people in order to further achieve their aims and goals, so I think merely recounting Jaime's actions and using that as justification for calling him bad is incorrect.
In fact, Jaime is one of the few characters along with Stannis & Varys who seem to apply sense. Ned was not willing to abandon his honour and prevent a war, but Jaime abandoned his completely, he was a Kingsguard who slay the King. But he did it to save thousands of lives. Jaime is one of the few characters worthy of respect, I reckon.
EDIT: btw, my favourite non-POV would be Stannis & Dolorous Ed.