Need a plugin to list pdf documents by title in a list by shortcode viewable to any external user vi

I am working on a site for a county government.
I need to be able to list pdf documents by title so that the end user can view the title and download the documents. I have Media-Categories and it works for some things (but I can not sort pdf files only pics)
But I need to be able to do this with tags.
I need to tag the document "Bid 001" and all files with tag "Bid 001" would show up in a list.
Any help would be greatly appreciated!