For those unfamiliar with the D&D alignment system, this explains it well:
www.easydamus.com/alignment.html Just because I'm a bit a bit sad, I thought I'd try to classify each of the characters. Feel free to argue the toss on any of them:
Ned Stark - Lawful Neutral
Robert Baratheon - True Neutral
Jaime Lannister - Neutral Evil > True Neutral after befriending Brienne
Catelyn Stark - True Neutral
Cersei Lannister - Neutral Evil
Daenerys Targaryen - Neutral Evil
Jorah Mormont - True Neutral
Viserys Targaryen - Lawful Evil
Jon Snow - Lawful Good
Sansa Stark - True Neutral
Arya Stark - Chaotic Neutral
Robb Stark - Neutral Good
Theon Greyjoy - Neutral Evil > Neutral Good after being "reeked"
Bran Stark - True Neutral
Joffrey Baratheon - Chaotic Evil
The Hound - Chaotic Neutral
Tyrion Lannister - True Neutral
Khal Drogo - Neutral Evil
Littlefinger - Neutral Evil
Davos Seaworth - Chaotic Good
Samwell Tarly - Lawful Good
Stannis Baratheon - Lawful Evil
Melisandre - Lawful Evil
Jeor Mormont - Lawful Good
Bronn - Chaotic Evil
Varys - Neutral Good
Shae - True Neutral
Margaery Tyrell - Lawful Neutral
Tywin Lannister - Lawful Evil
Talisa Maegyr - Lawful Good
Ygritte - Chaotic Neutral
Gendry - True Neutral
Tormund Giantsbane - Chaotic Neutral
Brienne of Tarth - Lawful Good
Ramsay Bolton - Chaotic Evil
Gilly - Neutral Good
Daario Naharis - Chaotic Evil
Missandei - Lawful Neutral
Ellaria Sand - Neutral Evil
Tommen Baratheon - Lawful Neutral
Jaqen H'ghar - Neutral Evil
Roose Bolton - Neutral Evil
The High Sparrow - Lawful Evil
Grey Worm - Lawful Neutral > Neutral Evil after Missandei died
Pycelle - Lawful Evil
Meryn Trant - Neutral Evil
Hodor - Lawful Good
Osha - Chaotic Good
Rickon Stark - True Neutral
Ros - Chaotic Neutral
The Mountain - Chaotic Evil
Doreah - Chaotic Neutral
Renly Baratheon - True Neutral
Robin Arryn - Chaotic Evil
Lysa Arryn - Chaotic Evil
Yara Greyjoy - Chaotic Neutral
Craster - Chaotic Evil
Qyburn - Neutral Evil
Mance Rayder - Lawful Neutral
Olenna Tyrell - True Neutral
Euron Greyjoy - Chaotic Evil
Sandsnakes - Chaotic Evil
Beric Dondarian - Lawful Good
Walder Frey - Neutral Evil