Visual Studio 2013 no longer has separate project types for different ASP.Net features.
You must select .NET Framework 4.5 (or higher) in order to see the ASP.NET Web Application template (For ASP.NET One).
So just select Visual C# > Web > ASP.NET Web Application, then select the MVC checkbox in the next step.
Note: Make sure not to select the C# > Web > Visual Studio 2012 sub folder.
~ Answered on 2014-01-13 16:50:41