Update 28th of July, 2014: Script updated to version 2.3 (see the changelog)
End of January I adapted the script to open list item attachments with a simple click on the paperclip symbol, which Alexander Bautz from spjsblog.com wrote, to SharePoint 2013.
In the last couple of days I have made some further improvements to this script which I want to share with you.
UPDATE February 13th, 2014: An even newer version is now available which you can check out here.
Another requirement of one of my users is to open file attachments directly by clicking on the paperclip icon without the detour of opening the item first. Alexander Bautz from spjsblog.com wrote the perfect script for this purpose which you can find here on his blog post. Thanks for that!
However, the last update was from mid 2012 and therefore the latest version is not compatible with SharePoint 2013. I made some minor adjustments to the code to restore the compatibility and I added a fade-in and fade-out animation, as well.