Hmm. I find a couple of difficulties in attempting to answer your question:
Firstly, with the exception of over-priced companies like PC World, there are very few national firms selling PCs. That means that, if you want to buy from a shop, you'll need to go to a local trader. Without knowing which part of the country you're in, it's going to be very difficult for anyone to point you in the right direction.
Secondly, you say that the PC won't be used for anything special and then you mention gaming. Things like downloading music don't require very much out of a computer (except possibly a broadband connection and a fairly large hard drive). Apart from a few specialist applications such as video-editing, nothing makes greater demands upon a computer than the latest video games. So, while the most basic of desktop computers may well be suitable for word processing, internet browsing and downloading music, it won't be much use for many modern games.
It's not my intention to be entirely negative in this post. I'm happy to recommend a firm which sells both new and reconditioned PCs (at really low prices), both online and from their showroom in Stockport. They give excellent customer service and, if you explain your needs, they'll make sure that you're supplied with a suitable PC (rather than just going for the greatest commission, like the sales staff in a certain national company I've mentioned):
http://www.accomputerwarehouse.com/
(Note that their website doesn't always show all of their offers. Either invest �1.99, at your newsagents, for a copy of Micro Mart and read their advert or, simpler, phone them up to discuss your requirements).
In order that other AB members can assist you further, may I suggest that you should post again, stating which part of the country you're in and giving examples of the types of games you