I hope this link works: click here
It is a fairly long thread where I was discussing my cf card reader not working. The difference is that mine was USB1. I spent many hours trying to get it to work on one computer (like you, it is fine on others). I now think there is something odd about some card readers and my (and others?) motherboard. I emailed ASUS but they didn't reply. I have never resolved the problem with the card reader and indeed, I bought another one (with great trepidation) that was USB2. I use XP, and it instantly found the new one and it worked perfectly!
I hope you have better luck than me, but if you can borrow other types and keep trying to get one that works, then buy one of that type. Having spent many many hours on this, I would not even try now!
Sorry I can't help, and indeed you may have a "simpler" problem which can be sorted by updated drivers etc.