Hmm... I've had N64 problems, although as far as I can remember, we've only had two official controllers ever. The one that became no good had a stick that would wobble pretty much completely.
I blame Mario Party, with all its control-stick rotation, which often got people to resort to their palms. Never got bodily damage, just the controllers.
That said, the third party controllers were good, their sticks stayed stuck. But two of them ended up losing the flat end on top (one of them broke off, one of them completely came off, leaving a thin metal stick that just hurts). Another controller, the same basic kind as the other two, ended up having a sticky C>.
GameCube controllers are a bit of a different story. We originally had two, one first-party, one third-party. The third-party one ended up having problems with the C-stick (some sort of miscalibration), and the first party one had a largely unresponsive A button (that's the most important one!). It probably contributes a lot to the fact that we never really played much GameCube (I had to get a new controller when I got PM:TTYD).
Basically, I hope you've absorbed the proper lesson from my useful knowledge. And if not, don't ask me for a hint.