I'm running Drupal 6.8, and I would like users to be able to upload files to my site, and have them display on one page under various categories.

For example, I have a forms and documents page. I want there to be a category for Health forms and waivers, one for Activity forms, etc.

I have thought about using (and played around with a little) using Views or Taxonomy, but neither seem to be able to do it.

I know its possible, because drupal.org does it with modules. All of the stable releases are in one group, all dev releases are in another.