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Lets stir this up a bit...Slackware with Xfce. It's light, stable and should provide just what you need.
I have been suggesting Mint to new users. If you choose a spin with a lightweight Desktop Environment (LXDE is my personal favorite), then it should run using relatively little resources. I'll write my generic list of low-resource OS's though:
Lubuntu/Xubuntu
Debian
Knoppix
Puppy
Slax