WebApp Sec: How to list all the URLs on a web server

[Lists <sakaba () alexandria cc>]

Hi Everyone,

I am auditing a system where files are stored on a web server and 
accessed without authentication directly by an application that knows 
each file URL.  I don't like it but the app owner wants me to 
demonstrate that someone could guess the URLs.  I have tried a number 
of spider tools but they are based on links so they don't pull up 
anything.
I am wondering if there is a tool or another method where I could find 
out all the URLs on the web site.   The funny thing is I saw this same 
kind of system with the same explanation just the other week at another 
company.  Maybe its a new trend...
Regards,
sakaba