The Office 2016 January 2018 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-us/kb/4058103
Project 2016 January 2018 update:
https://support.microsoft.com/en-us/kb/4011633
SharePoint Server 2016 / Project Server 2016 January 2018 update:
https://support.microsoft.com/en-us/kb/4011642 & https://support.microsoft.com/en-us/kb/4011645
The Office 2013 January 2018 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-us/kb/4058103
Project Server 2013 January 2018 CU Server Roll up package:
https://support.microsoft.com/en-us/kb/4011650
Project Server 2013 January 2018 update:
https://support.microsoft.com/en-us/kb/4011654
Project 2013 January 2018 update:
https://support.microsoft.com/en-us/kb/4011640
Also worth noting, if you haven’t done so already, install Service Pack 1 http://support2.microsoft.com/kb/2880556 first if installing the January 2018 CU for 2013.
As always, fully test these updates on a replica test environment before deploying to production.