Using a Static page to create a file library

I’m creating a department intranet site using WordPress. One of the requirements is to include a library of department files. I would like to create a dynamic list (maybe in table format?) so that when a user clicks on a file category, the list of related files will display (without having to link to a child page).

As it stands the soon-to-be-old site has approx three or four click-throughs before the user can actually download the desired file. I want to reduce the number of clicks by having a dynamic list, but I have no clue how to do this.

any help would be very much appreciated.