I've had all kinds of friends, but I tend not to hang onto them for a very long time as I have moved around a lot. Out of sight, out of mind kind of thing.
I would list current friends types as possible TeNi (childhood friend); FeSi (friend from early student days); TeNi (more recent study friend and his FeSi wife); 2 SeFi (artist type colleagues); possible NiTe (study friend); TeNi (study friend) and FeSi (study friend). 3 colleagues and supervisors that I am closer to are potentially NeFi; TeNi and TeNi. So it looks like I'm drawn to extroversion in friends (in the Jungian sense).
I have friends overseas that I don't see often, but I still consider them friends because they don't judge me for not staying in touch very much. Probably TiNe, TeNi and one that I cannot determine even vaguely....maybe some kind of Ne dom.
I should mention that I think I'm probably Ne/Ti. Or some sort of suppressed SeFi artist type in denial
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(I don't show that side of me here, but I was obsessed with learning the piano and wanting to be a composer as a child).
I don't think I have ever given much thought to personality differences other than the fact that I have been attracted to people who have qualities that I aspire to myself. So, many of my friends have been outgoing, adventurous and headstrong types. I like people who have a different outlook on life, and who are not afraid to think independently.
I have had quite a few religious friends, so I don't think it is so much personality type (in terms of function stack) as much as the fact that these individuals were respectful of my lack of religious attachment. The ones that did try to push me, I quickly rejected.
Likewise with friends who were obsessed with going out drinking all the time (most likely Se types). I did it for a year, but then got really tired of it. When I suggested that we do something different (something I was interested in, for a change) they just laughed and called me a bore. So I stopped going out with them, and then when they tried to make me feel guilty for it, I dropped them for good. I know that these so called friends wanted my company, but it always had to be on their limited terms. I cannot stand drunken/drugged behaviour - I had enough of that around me growing up, and I was in two relationships with alcoholics which has made me sensitised to any kind of aggression, bullying and the bullshit that usually comes with unconscious/inconsiderate people.