FGJ is a rarely used abbreviation for the saying "For Great Justice" which first appeared in the NES videogame, Zero Wing. In most cases, one must take off every zig for great justice, or FGJ. It's usually used in a positive manner, like an encouragement of something you strongly agree with.

FGJ is much like FTW, or for the win.
Random Guy #177: Let's get some food at that suspicious run-down shack over there.
Random Guy #42: Run-down shacks FGJ!
Random Guy #663: Dude, what the f--
by Yams September 6, 2006
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F*king Great Job
cited in novel "The Virtual Boss"
Floyd Kemske (Author)
FGJ on your project!
by solo sapiens February 4, 2012
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