You would have to try very hard indeed to buy a new PC that doesn't meet those requirements. The cheapest Dell Desktop machine for instance has a 1.6GHz Celeron, a 160GB hard drive, and a G31 Intel Chipset that has Intel 3100 graphics built in, which supports up to 256MB of graphics memory.
So the answer to your question is pretty much going to be that any new machine you buy will meet the specification given.
However, as with all these things, the more powerful the machine you choose, the better things (especially games) run, and Microsoft of one of the worst for understating requirements.
It is generally reckoned that when deciding to buy a new computer you should simply decide on a budget, and choose the best machine you can get for that budget. The trick is not to get carried away, and also just accept that the moment you open the box it'll be obsolete but should provide a good few years of service.
I have stopped many a friend from buying a £2000 Dell XPS machine for web browsing, emails, playing music and sucking pictures of a digital camera. They have in all cases been very happy with the £300 Inspiron desktop I have pointed them too instead.
If you're happy to tinker and keep one going a self built machine can provide more "bang for your bucks". If you want to safety of a warranty and support, then a good brand name is the way to go.