The Office 2013 July 2015 Cumulative Updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3077012
Project Server 2013 July 2015 Server Roll up package:
https://support.microsoft.com/en-gb/kb/3054933
Project Server 2013 July 2015 CU:
https://support.microsoft.com/en-gb/kb/3054952
Project 2013 July 2015 CU:
https://support.microsoft.com/en-gb/kb/3054956
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 2015 CU.
The Office 2010 July 2015 Cumulative Updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3077012
Project Server 2010 July 2015 Server Roll up package:
https://support.microsoft.com/en-gb/kb/3054972
Project Server 2010 July 2015 CU:
https://support.microsoft.com/en-gb/kb/3054982
Project 2010 July 2015 CU:
https://support.microsoft.com/en-gb/kb/3054985
SP2 is a pre-requisite for the Office 2010 July 2015 CUs.
As always, fully test these updates on a replica test environment before deploying to production.