Sansa- whose lies were directly responsible for myca and lady being executed, because she was caught up in a princess fantasy
Sansa is super hateable at the beginning but you have some forgiveness because she's a dumb kid who doesn't want bad things to happen to people. Far cry from being the one who pushes a little boy out of a window and expects him to die on impact.
Cat Stark- who hung and killed (?) Pod Payne because Fuck Lannisters That's Why
I'd say it was justified from her POV. Fuck the Lannisters.
Jeor Mormont- who allowed craster to use his own daughters as brood mares, and feed(?) male infants to the Others, because it was convenient for the Night's Watch
Unless you believe everybody should be a vigilante, this is a supremely weak argument. Mormont doesn't have authority over Craster, and if he kills Craster these women have nowhere to go and nobody to look after them. Is Mormont supposed to provide for them too, considering there can be no women at the wall?
Arya Stark- who kills a teen servant escaping king's landing, has Jaquen kill two more servants at Harrenhall just because, leaves the Hound to die a slow death despite the fact that he saved her from a grisly death at the Red Wedding, and kills at least one other individual as part of a trial for the Faceless men
Again, she's a kid so there's some bit of forgiveness. She's been dealt a pretty shitty hand overall. I wouldn't say she's worse than Jaime, but a different yet similar shade of grey.
Danerys Targaryen- who let her dragons run wild, burn children alive, and eat them out of negligence
Truth. Dany is a monster and needs to be put down.
Theon Greyjoy- who kills two random common boys to cover up the fact that he can't find Bran and Rickon
Also a monster, but he's obviously paid for it big time. Fate worse than death in a some ways.
Loras Tyrell- who kills three of his own men, distraught that Renly is dead
Jaime kills a bunch of Ned's men, distraught that his brother is kidnapped, not even dead. Can't imagine Loras is worse on this count.
Stannis- who assassinated his own brother via melisandre's magic (i.e. the throne was "his" despite no one wanting him as king) and was "likely" to kill his nephew Edric Storm for power to gain the throne
Stannis is pretty difficult to defend, agreed. Special place in hell for kinslayers.
Robert Baratheon- who approved of Tywin lannister's murder of Rhaegar's wife and children, and sent assassination attempts after Danerys when he found out she was pregnant
Robert was horrible obviously.
And those are just the people with Redeeming qualities. There's not even a need to bring up complete shitstains like Illyn Payne, Gregor Clegane, Roose Bolton, Ramsay Snow, Janos Slynt, Aerys Targaryen, and yes, Littlefinger for reasons I've already gone into.
There are no people with clean hands (ned aside), just various shades of Grey within the story. As these things go, 95% of the cast is worse than Jamie Lannister, who at least when he does shitty things, does them for others and not out of self interest. Littlefinger is one of those people that does a TON of shitty things entirely out of self interest, so saying "well, people like Jamie and he tried to kill Bran and that's the same" entirely miss the point, ignoring context, motivation, and behavioral patterns between the characters.