Okay, I'm curious about something. What kind of movies/books/pictures/music/etc. have you found that you would say give you the strongest Si-ish/SJ vibe? I'm trying to get a "feel" for how SJs see reality. SPs just respond to what they see/sense immediately, and are fairly predictable in their motivations.
I'm not really sure what you mean by giving a "vibe."

Are the answers others are giving you answering your question? I'll try to respond in a similar fashion giving preferences and the possible reason for those preferences.
My ISFJ mom loves mysteries. They have the level of detail an SJ would appreciate; and often they tell personal, background stories of the people involved that an SFJ is going to love. As for the detail thing, my mom enjoys suspense movies for the same reason. I also notice that SJs love movies based on a true story.
I absolutely love mysteries, detective stories, crime scene shows, etc. I enjoy Monk and CSI, and as a kid I loved reading books like The Westing Game, Nancy Drew/Hardy Boys, etc. However, the strange thing is that I very seldom look ahead in anything I'm reading/watching to see the possible outcomes. I am almost always totally absorbed in what is going on at that moment in the story that I don't consider what may happen. That actually makes me feel pretty stupid quite often, because in watching a movie there will be elements to a story that everyone else in a group predicts and I am left going, "Oh, didn't really see that coming." I like to speculate sometimes, but I have to actually stop a movie/put down a book to take the time to think things through.
I also tend to be turned off by a lot of things that seem totally unrealistic. But at the same time, there are certain types of fantasy/theoretical plotlines that appeal to me very much. I absolutely love superhero movies/shows. I also love things about time travel. But stupid little details in a movie or show will drive me nuts. To illustrate what I mean, I'll share this quote from the Big Bang Theory. When my friend and I heard it, she said, "That is EXACTLY something you would say!" (referring to the bolded part below):
Penny: You know, I do like the [Superman movie] where Lois Lane falls from the helicopter and Superman swooshes down and catches her. Which one was that?
Leonard, Sheldon, Wolowitz: *One.* [Rajh holds up one finger]
Sheldon: You know that scene was rife with scientific inaccuracy?
Penny: Yes, I know men can't fly...
Sheldon: No, no, let's assume that they can... Lois Lane is falling, accelerating at an initial rate of 32 feet per second per second... Superman swoops down to save her by reaching out two arms of steel... Miss Lane, who is now traveling at approximately 120 miles an hour, hits them and is immediately sliced into three equal pieces.
That's exactly how I am. :rolli:
As far as music, I like classical and instrumental music that is orderly. I like music that gives a cultural experience, so to speak (I have Scotch-Irish heritage and so Celtic music really appeals to me). I like whimsical music that gives a feeling of happiness. I really, really love music that takes themes of life and simplifies them...songs that make life seem wonderful and beautiful as they are without sugar-coating them or poeticizing them too much. I love songs that take simple reality and make it charming if that makes sense. And I also, for whatever reason, often enjoy very melancholy songs. I have a very hard time enjoying hard rock at all...to the frustration of my NT boyfriend.
Most books that I read these days are for purpose rather than leisure. Usually informational books or self help books.
As far as pictures/art are concerned, I like things that are what they are, so to speak. I don't get art that has to be analyzed to determine what it is or some kind of "meaning" in it. I am decorating my kitchen in coffee-shop type stuff. I have a bathroom with framed comic book covers (really it looks more classy than it sounds, I promise). Still working on the rest of the house but most of the art will be nature photography. I absolutely LOVE nature photography. The most beautiful things to me are what can be immediately seen with the eye if a person is in the right place at the right time. Everyday pleasures we take for granted are inspiring to me.