I would call the SNES controller a traditional controller.
The Snes controller seems to be the most copied controller of all time, but when it first came out it was a bit revolutionary, I guess. It certainly had a major edge over the Genesis contrtoller, which was shaped like the batman symbol and only had three buttons. The SNES controller was the first one to have shoulder buttons, and the positioning of the X Y A B buttons was pretty much flawless. There is really nothing about the SNES controller that can be criticized, and that's why future controllers like the dualshock and Xbox controller are really just clones of the SNES controller, but with analog sticks tacked on.
Come to think of it, Nintendo seems to have come out with revolutionary controller with every system they made. Even the original NES controller was revolutionary, because it was the first one to have the D-pad, when in those days you mainly just had paddles and joysticks... The there was the weird three pronged controller thing for N64, which is certainly different, but not really practical. It was revolutionary for being the first to have an analog stick, but that advantage was lost because Sony tacked 2 onto their PS1 controller and stole the advantage.
The gamecube controller was probably the best one of the three controllers last gen, but this one didn't really offer anything new or innovating. I'd say the GC controller was one of the best traditional controller designs. To me, it feels good to hold onto, and the buttons are easy to figure out. I mean, the make the buttons different sizes, so you can feel the difference between one button and the next. Still, it just wasn't revolutionary. I won't say that was why the Gamecube failed as a console, but it probably was one of the factors for it.
Now we have the Wii's controller, and no one can claim this is something that's been done before. It's good that Nintendo is innovating once again, like they did with the NES and SNES, and maybe this is the key to the Wii's success. The N64 and GC didn't really offer anything very innovative controller wise, but all their other consoles did and were successful. Is that a coincidence?