The standard sharepoint display templates for the CSWP are very limited. I would assume that someone has already made and shared some display templates for general document searches.
Are there any websites that host these template?
SharePoint Stack Exchange is a question and answer site for SharePoint enthusiasts. It only takes a minute to sign up.Sign up to join this community
Google Search for 'Pnp Display Templates' or SPCSR by Elio Struyf
It is unknown what the future of Display Templates is going to be with all the new SharePoint Fx / SharePoint Framework / New Experience developments at Microsoft.
Expect more news closer to the Ignite conference (sept 26-30 2016)