Ned Stark - ISTJ Yes
Catelyn Stark - ISFJ Yes
Robb Stark - ESTJ Yes
Bran Stark - ISFP Yes
Sansa Stark - ENFJ Yes
Arya Stark - ISTP (I don't think an Fi-dom would resort to killing as the immediate solution, in the books she seems to have a penchant for arriving at morbid conclusions, even when the problem in question is as simplistic as a mere disagreement, she wanted to kill some merchant just because the merchant would not sell his stuff for a cheaper price) Yes
Jon Snow - ISFP (he does become ENTJish after the third book... emergence of shadow?) Yes
Tyrion Lannister - ENTP Yes
Tywin Lannister - INTJ No. ESTJ. A traditionally minded, severe, hyper-competent administrator
Cersei Lannister - ENTJ ESFJ pretending to be an INTJ
Jaime Lannister - ESTP (can an Se-dom be heavily retrospective and nostalgic, though?) Yes and Yes
Kevan Lannister - ESTJ ISFJ
Joffrey Lannister - ESFP (Se-Te loop) Yes
Varys - INFJ Good One
Littlefinger - INTJ ENTP. Too opportunistic to be a J. He doesn't control, he adapts
Red Lady - INFJ Yes
Pycelle - ESFJ Or ISFJ
Qyburn - INTP Yes
Daenerys - INFP No. A charismatic fe user, not a dreamy fi user. XNFJ, probably INFJ
Mormont - ISFJ Yes
Barristan Selmy - ESTJ ISTJ
The Hound - ISTP Yes
The Mountain - ISTx ESTJ
Bronn - ISTP Yes
Robert Baratheon - ESFP (healthier Se-Te loop than Joffrey's, also seems to be retrospective and nostalgic) He's actually very adroit and logical. ESTP
Renly Baratheon - ENFP ENFJ
Stannis Baratheon - ISTJ Well, duh.