MESSATSU

I need a new computer, this one is alright but doesn't really have what it takes to run games as well as I'd like it to, about the only bloody games I can play are ones that I've downloaded, like toribash, and the like.

Now, I know absolutely nothing about computers, the only thing that I really know is that I am shit at picking them.
So I need your help, and I'm sure some of you are whizzes in this department and will have no trouble telling me what the best computer in the world is.
Thing is, I don’t want the best of the best, I just want a computer that'll run pretty much anything I buy smoothly and quickly, without any sort of problem at all.
Also, telling me what is in the damn thing wont help either unless you tell me what it does, for example; saying it has "xxxGB of RAM" doesn't mean anything to me until I know what RAM is, so please, if you are posting the system specs tell me what they do, unless someone would be so kind as to make a post telling me what they are anyway.

There is no set budget that I have, so post any that you are definite would fit the requirements I have asked for, though, I don’t want to see any Ѓ10,000 computers, as I wouldn't pay that much, ever, try to keep in the Ѓ1000 - Ѓ3000 range.

Also, I don’t want any "make your own computer" comments, because if I had wanted to, I wouldn't have posted.

Thanks.