My Gamecube was purchased when the system launched and I recieved it as a present for Christmas 2001. A year later, about a week before Christmas 2002, my Gamecube got the disc read error, the lens or whatever seemed to have died. I think its life might have been cut short from the Harry Potter rental my sister rented that probably had plenty of scratches on it, plus, wherever you go in Harry Potter, there was a 15sec loading screen so that must have helped kill the system. I called up Nintendo and explained the situation, and I told them that I had never had a problem before and that just after a month after the warrenty expired it stopped working, so the lady extended my warranty about 2 months so I got it repaired for free. I sent the GC to the local repair place and had them ship it out and a replacement was sent to me about a month later.
(Also, since this was a week before Christmas that my Gamecube died and I was getting Metroid Prime for Christmas I was in a panic, how awful for me to not have a Nintendo system to play a much anticipated game on! Luckily I got a 2nd Gamecube because of some special deal at Best Buy with a Computer purchase, so Christmas was saved!)
I've always taken great care of all my video game stuff, so I've never put chains around my Gamecube's handle and tied to my car and driven around like a maniac or anything like that

It just must have had to do with the early GC models.