Solf J. Kimblee (Full Metal Alchemist: Brotherhood)
EDIT: My conclusion is that he's SLE. The ILI idea doesn't hold up when put to greater scrutiny.
Clearly Se valuing. My initial thought was SLE > LIE. However, this video makes me seriously consider ILI despite his abundance of Se. He seems to fit the "critic" label almost perfectly, not having a stake in the actions of those around him but pointing out the inconsistencies and hypocrisies of their words in comparison to their actions. He has a small number of principles by which he lives, but he doesn't treat them as axioms, rather more like truths he's observed by seeing people's motivations very clearly.
The video goes into more detail, so I won't repeat it. If you're skeptical, I strongly recommend it, as it presents a number of points that lead me to consider ILI. It's not about socionics, though. Spoiler warning for FMAB.
https://www.youtube.com/watch?v=E8MxjtRe2sA
I should mention that this is by no means a comprehensive analysis of his type. It's just an idea that I think holds some water. Feel free to criticize it.