Remi Corson

If you need to know how many times a file is downloaded by your visitors then this plugin is for you! Just insert a simple shortcode and that’s it! You can also a simple parameter to any download link and the count will be done too!
<a href="http://remicorson.com" rel="nofollow ugc">Developer Website</a> – <a href="http://remicorson.com/easy-download-media-counter-free/" rel="nofollow ugc">Dedicated Plugin Page</a>

Easy Download Media Counter

Requires at least 3.0 Tested up to 3.3.1 Stable tag: 1.2 This plugin allows easy media downloads count using shortcodes

Robert Heller

This WordPress plugin started as a portable, cross-platform system that 
the Wendell Free Library could use as a transition system from its current 
paper card based circulation system to the system that will eventually 
be rolled out by the regional library system. It has ‘morphed’ to a 
web-based successor to Deepwoods Software’s Home Librarian 3 system.
This plugin implements a simple and basic, web-based, library catalog 
and circulation system. There are short codes that can be added to 
pages of a WordPress site to search and display items in the library 
collection. And there are back-end (admin) pages that implement 
management of the collection, management of patrons (users) of the 
library, as well as implementing the functionality of a circulation 
desk.

WebLibrarian

A WordPress plugin that implements a basic library collection and
circulation system.

Easy Download Media Counter vs WebLibrarian