Okay, this wasn’t entirely obvious: to get nifty project templates for .NET Core applications, you have to install both Visual Studio 2015 Update 2 (https://www.visualstudio.com/en-us/news/vs2015-update2-vs.aspx) and the .NET Core SDK for Windows (https://www.microsoft.com/net/core). Then you’ll see the templates for .NET Core when creating a new project.