I thought of a few more, however, as always, some were taken:

Taken
IGF
AGU
ARG
IFG
RGK
BGA

Not Taken
IGR – International Gamers ?
VGI – Victory Gamers Inventory
VSG - ?
RIV - ?
BFK – Born for Killing
EGU – Every Gamer United
BGU – Born Gamers United

Any more ideas please let me know, we need to make a final decision soon.