There is a plugin for the media library called WP Real Media Library.  This plugin can be used to organize your media library into folders that are viewable on the main Media Library dashboard page.

Once activated, the WP Real Media Library allows you to create new folders and subfolders. Once these folders are created you can drag and drop your media files into them. Once files are in a folder you will be able to see a count of the number of items in said folder.

You can bulk select and move files as well.