zzapp,

Please read patch notes 1.16a, to become more familiar with the targeting systems.

http://forum.square-enix.com/ffxiv/threads/4823

Target mode A (targeting system before patch 1.16a) aka Old way.

Target mode B (targeting system after patch 1.16a) aka New way.

Once in a targeting mode use the [UP] or [DOWN] arrows on your keyboard (or) [UP] and [DOWN] with DPad.
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As stated in the sub section {System}

[dev1035] Players can now select from among two different targeting modes.
Target/Menu Navigation Keys and Corresponding Actions
Up/Down Left/Right
Targeting Mode A Cycle through party members Cycle through all targets
Targeting Mode B Cycle through targeting filters Cycle through valid targets

* Activating targeting mode A will set the target filter to All.
* Activating targeting mode B will make the All target filter inaccessible.
* Targeting modes can also be activated using the /targetmode (/tmode) text command.
/targetmode(/tmode) [subcommand]
>>Subcommands
 a  Switch to targeting mode A
 b  Switch to targeting mode B
* Targeting mode A is the default targeting mode. Targeting mode settings are saved upon logging out of the game.

* A bug wherein certain text commands were not working as intended. (3/28/2011 9:50 p.m. (PDT) / 3/29/2011 4:50 a.m.(GMT))