Great art, as you say, has something true, profound, and original to tell us about the human experience, and it touches us deeply in a way that not-so-great art doesn't. It "stops you in your tracks" as other comments here mention. It hits you on the head and makes you a different person, at least a little.
And, there's a magic component to it too. Great art is greater, I think, if you can't guess how it could possibly have been made by a mere mortal. That's where trade comes in. Great art is made by great artisans with a touch of genius, but genius alone isn't enough.