The Office 2016 March 2016 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3143491
Project 2016 March 2016 update:
https://support.microsoft.com/en-gb/kb/3114865
The Office 2013 March 2016 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3143491
Project Server 2013 March 2016 CU Server Roll up package:
https://support.microsoft.com/en-gb/kb/3114823
Project Server 2013 March 2016 update:
https://support.microsoft.com/en-gb/kb/3114836
Project 2013 March 2016 update:
https://support.microsoft.com/en-gb/kb/3114843
Also worth noting, if you haven’t done so already, install Service Pack 1 http://support2.microsoft.com/kb/2880556 first if installing the March 2016 CU.
The Office 2010 March 2016 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3143491
Project Server 2010 March 2016 CU Server Roll up package:
https://support.microsoft.com/en-gb/kb/3114876
Project Server 2010 March 2016 update:
<no update this month>
Project 2010 March 2016 update:
https://support.microsoft.com/en-gb/kb/3114891
SP2 is a pre-requisite for the Office 2010 March 2016 updates.
As always, fully test these updates on a replica test environment before deploying to production