The Office 2016 July 2017 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-us/kb/4033107
Project 2016 July 2017 update:
https://support.microsoft.com/en-us/kb/3203476
SharePoint Server 2016 / Project Server 2016 July 2017 update:
https://support.microsoft.com/en-us/kb/3213544 & https://support.microsoft.com/en-us/kb/3213543
The Office 2013 July 2017 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-us/kb/4033107
Project Server 2013 July 2017 CU Server Roll up package:
https://support.microsoft.com/en-us/kb/3213566
Project Server 2013 July 2017 update:
https://support.microsoft.com/en-us/kb/3213577
Project 2013 July 2017 update:
https://support.microsoft.com/en-us/kb/3213538
Also worth noting, if you haven’t done so already, install Service Pack 1 http://support2.microsoft.com/kb/2880556 first if installing the July 2017 CU for 2013.
As always, fully test these updates on a replica test environment before deploying to production.