Eclipse HotKey: how to switch between tabs?

• CTRL+E (for a list of editor)
• CTRL+F6 (for switching to the next editor through a list)
  You can assign another shortcut to the 'Next Editor' key.

are the two official shortcuts, but they both involve a list being displayed.

CTRL+Page Up / CTRL+Page Down can cycle through editors without displaying a list.

What is interesting with that last set of shortcuts is:
they are not listed in the Eclipse Keys shortcuts to be defined.
They may be inherited from the multipage editor, making them an OS specific shortcut.

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Regarding shortcuts on Mac OS (OSX), Matt Ball complained in Sept. 2011 to not being able to remap CTRL+Page Up/CTRL+Page Down:

It drives me nuts to not be able to flip through open tabs as I can in pretty much every other tabbed program in OS X (⌘-Left and ⌘-Right).

Well, in March 2012, Arthur replied:

, I've just downloaded the latest version of Eclipse (3.7+). I've been able to bind "Previous/Next tab" to (⌘-Left and ⌘-Right) when in Editor, which I'm pretty sure I couldn't do before.
So I guess they heard you.
It works just as you expect, tabs going from left to right and vice-versa, not on a history basis or some nonsense like that.

Matt Ball confirms:

oh wow, selecting "Editing Java Source" actually worked!
Now, unfortunately this means that I'm SOL if I nav into a non-Java file (JSP, XML, JS, etc.).
The fix for this is to "copy command" for this pair, and select all the "whens" that I want.
So far it's at least working beautifully for Java and JSP files.
This is a major PITA to set up, but it's just a one-time thing.

His exported preferences are available here for you to try.
Once imported, you should see, for all the relevant types of document:

If you go to Preferences (e.g. Window→Preferences) and view General→Keys

and then search for “Next Tab” and “Previous Tab”, you can remap them.