Eddard
Obvious Fi-valuing, sensing rational.
That leaves ESI and LSE.
Btw he's not Se PoLR, so he's not EII people.
I vote ESI as Si is never present in his personality and Fi and Se are more prevalent than Te.
As for judging people impractically pointing to bad Fi, he was on the contrary quite mistrustful.
Regarding Baelish, Ned never trusted him, he was just very distracted and tired.


Melisandre
Obvious EIE-Fe. Beta NF. Extraversion and Se is too prevalent for IEI. I shouldn't have to go on.


Jorah
Gamma NT at least should be obvious.
He's always trying to give reasonable, practical and effective advice.
He's intelligent, literate and well travelled.
Gives advise regarding Ni.
If he were LIE, he'd be the Te subtype as he's to serious and focused on Fi to be the Ni subtype.
However, in LIE-Te, the EJ temperament is emphasised further, so it should be obvious.
But it isn't.
If anything, Jorah seems like an IP, just going with the flow.
Thus I'll say he's an ILI-Te.
His one sided affection for Dany is also one of many ways supervision can manifest itself.


Stannis
Obvious LSI-Ti.
It seems everyone agrees.
Sometimes I think he's Fi valuing, but that's just an inconsistency in a fictional character.


Tywin
He's not an LIE, but an LSI instead.
There's no arguing that he's anything other than a Se valuing logical rational type.
Just look at his composure, it's not of an LIE, but clearly of an IJ and a Se valuer.
But of course, composure is too minor a detail with fictional characters so let's move on.
He's excellent at Se. LIE can use Se, sometimes effectively, but not nowhere near as consistently or skilfully as Tywin.
What about his strong Ni?
Well, LSI-Ti are quite good with Ni.
The thing with Tywin is that his Se is stronger than his Ni, which is sometimes neglected.
What about his strong Te?
LSI-Ti are very good at Te, just like an ILI is good at Ti.
Tywin is also bad at Ne + Fi.
He has an irrational dislike of Tyrion.
An LIE's Te dominance and strong Ne demonstrative would make them more likely to acknowledge and properly appoint Tyrion.
Also pointing to LSI over LIE is Tywin's conservative, patrician set of social values, in which women are suited to securing marriage-alliances and little else, not weilding power on their own.
An LIE would have more of a 'whatever works' ideology, like Olenna.