Science Fiction

Hmm . . .

I'd say that Jaime has, by this point in the story, moved up to being Neutral, and I'm not sure if I'd really call The Kingslayer Lawful. Littlefinger is closer to the quintessential Lawful Evil character; he's playing by the rules, scheming his way to the top, and no even realizes what's going on. I'd also argue that Tywin Lannister is more Neutral Evil than True Neutral. Tyrion is a better choice for this slot. Arya is a bit too . . . murderous to be a "good" character; she is more chaotic neutral than anything else. I'd say the following is a bit more accurate:

Eddard Stark: Lawful Good
Jon Snow: Neutral Good
Dany Targaryan: Chaotic Good
Stannis Baratheon: Lawful Neutral
Tyrion Lannister: True Neutral
Arya Stark: Chaotic Neutral
Petyr Baelish: Lawful Evil
Cersei Lannister: Neutral Evil
Joffrey Baratheon: Chaotic Evil