Basic

Run/Walk: NumPad /
Autorun: Mouse 3 or R
Draw Weapon: Z

Targetting

Cycle through enemies (near > far): Tab
Cycle through enemies (far > near): Shift-Tab
Target your target's target: T
Target the enemy attacking you: Shift-T
Target Nearest Enemy: F11
Target Nearest NPC: F12
Face Target: F

Menus

Character = C
Intentory = I
Armoury Chest = Ctrl-I
Maps = M
Actions & Traits = P
Social Lists = O
Free Company = ;
Linkshells = L
Timers = Ctrl-U
Journal = J
Crafting Log = N
Gathering Log = B
Hunting Log = H
Signs = Shift-M
System Menu = NumPad -

Chat

Reply: Alt-R
Reply (Back): Alt-Shift-R
Chat Mode Say: Alt-S
Chat Mode Yell: Alt-Y
Chat Mode Shout: Alt-H
Chat Mode Party: Alt-P
Chat Mode Free Company: Alt-F
Chat Mode Linkshell: Alt-L
Chat Mode Linkshell (Back): Alt-Shift-L