Note:

If you want to create a new page for developers, you should create it on the Moodle Developer Resource site.

Most logical, consistent ordering of columns

How can we be consistent with other file management systems?

Would users prefer to have the icons for rename, delete, unzip, list, restore or words?

Users prefer generally icons rather than names. Moreover, you can always put the mouse over the icon and you can read the description. In this case it will not confuse the user because there would be few icons in the page and it would be used icons that have already been used in other places at Moodle (specially when selecting the "Turn editing on mode").

This would be the icons that I find more usable and that are already used at Moodle:

File:Image:Rename.gif

Ability to click on the column headings to sort the files username, file size, and modified date