I HAVE THAT PROGGY!
It ran on it's own Intuition screen. It had a black background with red and white text. I think that you chose the files to backup using an expandable hierarchy on the left-hand side of the screen.
Or so I think. I think it's called SuperBack. Gotta look through my backups, but I clearly remember it! I can upload it tomorrow. Now I tink it's called ABAckup. Just found the disks, will post a screenie in a while...