SharePoint, in addition to storing documents, allows you to store data in the form of “Lists” and offers various ways to interact with your data once it’s there.
Some of my favorite additions to SharePoint 2013 are the improvements to search, specifically the addition of the Content Search Web Part (CSWP). This little gem not only allows you to pull data from any site, but it also enables you to display those results in a much more flexible and user-friendly manner. Sure, you can grab data from any site using the Content Query Web Part (CQWP), but who has the time to make that look good? Well, with very little time and no customization at all you can throw a CSWP on a page and grab popular documents for your users to view. You even get functional options for display right out of the box.
What I really like best is the ability to create custom display templates to render the data however you want to. With some relatively simple client side dev, you can transform those useful display templates into something much more appealing.