The Office 2016 December 2015 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3121650
Project 2016 December 2015 update:
https://support.microsoft.com/en-gb/kb/3114393
The Office 2013 December 2015 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3121650
Project Server 2013 December 2015 CU Server Roll up package:
https://support.microsoft.com/en-gb/kb/3114341
Project Server 2013 December 2015 update:
https://support.microsoft.com/en-gb/kb/3114360
Project 2013 December 2015 update:
https://support.microsoft.com/en-gb/kb/3114366
Also worth noting, if you haven’t done so already, install Service Pack 1 http://support2.microsoft.com/kb/2880556 first if installing the December 2015 CU.
The Office 2010 December 2015 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3121650
Project Server 2010 December 2015 CU Server Roll up package:
https://support.microsoft.com/en-gb/kb/3114405
Project Server 2010 December 2015 update:
<no specific Project Server 2010 update>
Project 2010 December 2015 update:
https://support.microsoft.com/en-gb/kb/3114419
SP2 is a pre-requisite for the Office 2010 December 2015 updates.
As always, fully test these updates on a replica test environment before deploying to production.
Modern Work Management - Project and the Power Platform blog 