Carrie: ISFP
I see the Fi in her, and when I watch the show that's the part of Carrie I can directly relate to, but otherwise all I get is Se, Se,
Se! She's rather impulsive and, like someone else in the thread mentioned, never learns from her past experiences (No Fi-Si loop!). She seems to keep tripping over her own feet because her shoelaces are untied but never thinks to just TIE THEM so that she won't trip in the future. Honestly, she reminds me of my (ISFP) mother and (ESFP) grandmother. We connect in terms of the Fi, but their Se is the oil to my water, Ne. Plus, Carrie's value system? I think I can say is a bit underdeveloped.
Sidenote: I used to be into fashion, too. Subscribed to Vogue and Elle for years. I'm relatively fashion conscious, like Carrie, but I notice it doesn't come from the same place. I like to dress a certain way as a form of self-expression or a way to say something about myself to other people without having to actually
say anything while Se users tend to do it to be noticed or even complimented, to a certain degree.
Charlotte: ISFJ
SFJ definitely. I chose I for her because I remember in the episode when she leaves the museum/art gallery she works in and the episode where she converts to Judaism the narrator, Carrie, mentions how "studious" Charlotte is. She remembered lots of
facts. Whether or not she could apply them was another issue, but that's a clear sign of Si dominance in her.
Miranda: isTJ
This typing for Miranda is more of a gut instinct. I always have a bad tendency of confusing ISTJs with NTs. Well, until the ISTJ does something that is so S that I must amend my typing for them. Initially, I thought she was an inTJ, but then I compared her to other ISTJs I know. Perfect Match. They all do what they're supposed to do (like they're programmed to do what's "normal"), and they are all so grounded in reality that after a short time of getting to know them I realize quickly how much they frighten me. ...Or maybe it's the TJ that scares me shi(r)tless.
I honestly can't type TJs properly. Someone else may have better reasoning

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Samantha: ESTP
Impulsive yet Grounded in Reality. Apathetic to Social Norms (although she's very concerned with the way she looks to stay within a physical social norm). Bold. Unabashedly extraverted. Great use of Se and Ti.
Mr. Big: eSTJ
He marries some gorgeous model whom he doesn't actually love on the basis of his being expected to marry someone in equal social status to himself. He only seems fickle because he loves Carrie, someone who is unconventional and a crazy Fi to his organized Te, but is afraid to be with someone who goes against his "plan."
Aidan: iNFJ
I really, really believe Aidan is INFJ. I don't think he uses Fi like Carrie does. His personality is just very... different. He has Fe, but it's subdued or mellowed out, like most Fe auxs. He also has soft J going on, which was hot. It's quite possible that he is an IsFJ, but I don't know about his being Si dom.
I'd say
Steve is EnFP. For that guy to be so shrimpy he definitely bagged a lot of babes on that show.
Harry seems ExFJ. He helped restore Charlotte back to (emotional) health after her divorce without any conditions in their relationship. Sounds like Fe to me. And all I can guess for
Trey is that he was a whole lot of SJ.
I don't particularly care about the other characters enough to type.
Fyi, I used to be an avid fan of the show. But now for some reason I can't seem to stomach it. I'm not quite sure what caused the change, but I can't watch it without cringing.