I grew up generally disliking the shorter European cut of The Shining and didn't even know about the original 25 minute longer US cut until I saw it at the cinema last year. All the problems I had with the film melted away when viewing it.
If memory serves, we see more Scat Man so he doesn't seem so random (Plus we give more of a sh*t when he dies), we see Danny has an imaginary friend and is far from 'normal', we learn early on that Jack is an alcoholic and has probably physically abused Danny and most importantly it has title cards explaining jumps in time.
A frequent criticism of the film is Nicholson's performance, which is justified by viewing the European cut as it appears random and incomprehensible. But when we see a big black title card saying "A month later" or "The next day", we can then juxtapose the before and after the card in our minds, to chart his mental decline.
btw the 2012 documentary 'Room 237' about all the obssesive Shining conspiracy theories, is really wonderful. It presents the theories and the people who put them forward without comment. So you can view them as geniuses or people who have lost all sense of perspective/reality and are just seeing patterns in the essentially random (I'm in the latter camp). e.g.

^ One theory has it that this was Kubrick 'deliberately' putting a sexually suggestive image in our minds and another is that the carpet was a reference to Kubrick having faked the moon landings...
