OH! Hey, there is software similar to that... I don't remember the name but a couple of our customer service peeps use it to look at our customer's computers. Ummm....

Let me get back to you shortly with the name of it. It requires internet access, but I bet you could build something yourself that only requires intranet access instead.

EDIT: And yes, PCAnywhere is still around, albeit not for long I think given how many other tools people are using nowadays.