My sister's xbox never got the RROD, but it has gotten some pretty rare errors.
The first one relates to the AV cable plug-in to the xbox; basically, it couldn't send video or sound information to the tv. It wasn't the cables, the problem was inside the xbox itself.
I didn't give it too much thought; we sent it in and got it back a few weeks later (with a free month of gold XBL!). Now for the annoying part. The xbox got another rare error one week after it came back.
Because it was my sister's xbox, I did nothing physical to it. I did decide that I don't even want an xbox anymore. Call me a PC elitist, but the only good thing the consoles still have are the music games, and even those get boring fast.