What I want to see is an operating system which forgets all the technologies which were a great idea 20 years ago, but may not be so suited to todays computing world. We have a lot of computing power available to us now, so we can try some truely innovative idea cheaply and easily. I want to see highly extensible systems, applications which are hugely parallel from kernel up, I want to see orthogonal persistence, I want a system which can determine what applications to run for me, so that I dont have to and can simply focus on the task at hand - getting work done. I dont ever want to have to think about filesystems and directory structures again. I want to be able to see the internals of the running system in a REPL, if I so choose. If I'm using, say, an instant messenger and I'm typing text, I want to be able to use vim (or whatever your favourite editor is) to edit that text!
Ok, some of these may not be great ideas or very realistic - the point I'm trying to make is that I want to see operating systems truely try to achieve something different in an end-user (ie not simply for research) OS.
This is the type of system I envision to run on such a computer, were it to exist!
End of Rant ;-)