I\'ve installed Visual Studio 2013 Premium (MSDN license) on my machine. Yet, the ASP.NET Web Application template is not there (except for Version2012, which offers me MVC
Not the solution in your case, but I had a similar issue where I could not find the MVC templates. Eventually I realized that I still had .NET Framework 3.5 selected, which of course does not provide MVC... switching to .NET Framework 4.5 let me find the MVC templates again.
You already had 4.5 selected in the screenshot, but I'm just posting this here for others who might make the same mistake as I did.