The Dart plugin is missing some files from the default project template.
In the DartEditor the default template include the following files:
web/<projectname>.css
web/<projectname>.dart
web/<projectname>.html
For example, this is the default template for a project named "test":
No such files are present in the Dart plugin, as you can see in the following screenshot (I'm using IntelliJ IDEA 13, Dart Plugin version 132.1045):
Also, there is only one project template in the IntelliJ Dart Plug, called: "Dart Web Application". But in the DartEditor there is also a template called "Dart Web Application using the Polymer Library", already configured with the Polymer Library.
An explicit DartEditor project import option is also missing.