Have to agree with Jimmy14 here about the graphics. My advice for whats its worth is look for a PC that has an AGP port or better still a PCI Express port. That way you can use the onboard graphics initially and later on you can buy a graphics card. If you buy a PC with onboard graphics and no port to upgrade the graphics you will be dissapointed if you wish to play games.
It seems Jimmy14 and Totally-Braindead are saying you can't use a very basic PC for your specified needs and you need to spend more on an upmarket model. Think closely about what you actually want to do and what it would be nice to do. Somewhere in there is a 'value for money' model that meets your needs and that might not be the cheapest. Buying is always a trade off and I suspect most people buy over specified PC's on the off chance they will need the higher spec (and never do).
If you decide on the Acer then I can say they are well built and seem reliable - I have a 64bit AMD Acer with 1Gb RAM and that works well.