Each JavaEE 6 tutorial comes with JUnit unit tests that can be run in Eclipse, IntelliJ, NetBeans, Maven, Ant or any IDE or build system without special plugins using Apache TomEE as an embedded JavaEE container. The easiest way to run a JavaEE tutorial in your IDE is to use maven (mvn eclipse:eclipse or mvn idea:idea) to generate project descriptors.
If there is a particular example that you don't see here, just ask and there are good odds someone will make it for you. All the examples show code, but some are better documented than others. Examples with full descriptions are annotated with a *.