I'm curious what other patterns people are using on the web besides MVC? Also, if there is a framework that implements the pattern, please post a link to it.
I'm glad to see this posted.
Paul James (author of one of your links) actually has the Tonic PHP framework: http://peej.github.com/tonic/ Which is quite nice and lightweight.
There is also the Recess Framework, which is a RESTful approach: http://www.recessframework.org/
You may also be interested in flourishlib, a non-mvc un-framework.
I personally like the philosophy behind scala/lift approach:
I spent many years building C++ backend apps with a copy of GoF by my side, and coming into pure web development, I naturally went straight to an MVC framework... As the months went by however, I found myself gravitating to a more procedural (gasp!) style, with a some classes thrown together to keep me DRY. And I stopped using frameworks and went with Rasmus's No-Framework framework style for separation of concerns.
I'm eager to give the Lift approach a try, but have been keeping too busy.
Here would be a couple of possible ideas to consider:
One could try to argue that the initial Web Forms tried to be close to a VC of MVC with the code behind and the markup in separate files but I'm not sure how far down that rabbit hole I'd want to go.