1-2GB RAM, 80-160GB hard drive, Windows XP (though not important as I have my own disc), graphics performance is not important as it's primary use will not be for games. Good CPU performance and reliability are the most important factors.
I have been told Dell or HP are good, I'm looking for a high quality machine, fully working and in top condition, but has to be worth my while price-wise if it's 2nd-hand (I do not have the money to buy new).