What is the difference between Eclipse for Java (EE) Developers and Eclipse Classic?
Both are marked as version 3.6.
Which one should I use?
If you want to build Java EE applications, it's best to use Eclipse IDE for Java EE. It has editors from HTML to JSP/JSF, Javascript. It's rich for webapps development, and provide plugins and tools to develop Java EE applications easily (all bundled).
Eclipse Classic is basically the full featured Eclipse without the Java EE part.