I feel pretty much the same way as Ray, but with a slight difference, or perhaps difference. I print many of the photographs that really please me. I enjoy the technical aspects of printing. More importantly though, since I shoot for me, and am pleased with the results, I enjoy seeing them again. There is another aspect too, though it's only occasionally significant: seeing the photographs again opens my mind to patterns (which I might want to continue, or alter) or simply challenges me to see differently.
To BBW's point: I find it very rare that a person who is pleased with one of their photographs does not get much greater and deeper joy from seeing it in print. In my view, the screen just does not do justice to a well made photograph. The photographs look good on screen, but some of the character is often obscured, and the environment (the site design, the appearance and aesthetics of computers and where they are located etc.) is not favorable to photographs. It does not necessarily harm them, but it does not allow them to reach their full expression.
A little exercise: choose some of your favorites, say four to six photographs, and print reasonably large - 11 x 17 for example. Stick them on a wall and look from a distance and close up. It's very cool.
When I see my prints, the memory comes back - of the process, as well as the place and time. It's a nice feeling.