On one machine, I don't have the Web Projects.
First of all I had a Ultimate Trial, there I had the webprojects. Then I uninstalled it and installed the Professional, since then all web projects (4.5 and 5 rc) are missing.
I did install the Web Developer Tools. I Also installed and repaired the asp 5.
I also uninstalled VS2015 and reinstalled it.
On all other machines even those where i also uninstalled the ultimate it works fine I don't want to reinstall the whole machine :-/