While I have never experienced a major problem with any of my Macs, iPod, or iPhone, AppleCare has definitely been there to solve those minor glitches. Case in point: this weekend my Mighty Mouse's scroll wheel stopped working (this is the 3rd Mighty Mouse in less than one year). I simply called Apple's support and told them what was going on. "My Mighty Mouse stopped scrolling," I said. The Apple representative gave me some simple troubleshooting tips to make sure that my computer wasn't doing anything strange. I was asked to check the scroll speed and then they asked me to reset the PRAM (I don't really understand that one, but OK). After that, the representative said that my mouse was, in fact, defective (no duh), took my address and said they would have a new one out to me in "5 to 7 business days."
That was on Saturday. On Monday I got a knock on the door from a DHL delivery guy with a box in his hand -- you guessed it, Apple overnighted me a wireless Mighty Mouse! The cost to overnight the package: $70. This is just one example of AppleCare's good service.