There aren't nearly enough Jim Gordon stories in Batverse fanfic, and that's really a damn shame. Gordon's a terrific character, especially in Miller's Year One; he's been pivotal to the Batverse for pretty much its entire run. And what does he get in terms of fanfic? Bupkus, or close to it. I'm writing one story to partially correct that deficiency, but I'm still trying to figure out why.
I think part of it is that he is, by necessity, out of the loop -- even when he knows, or suspects, something, he goes out of his way to avoid confirmation, in order to maintain his plausible deniability. But that also makes it hard to put him into Batverse stories. He's not somebody Batman can talk to for long stretches, because of Batman's ambivalent relationship with the cops. He can talk to Barbara, but only as father to daughter; he doesn't know about Oracle or the like. He's never in the Batcave. He's been married multiple times, so his heterosexuality is pretty clearly established, making him more difficult to slash. (Also, slashers like the pretty and angstful, and why pair Bruce up with an old geezer when the Hunk Wonder himself, Dick Grayson, is right there?)
So when Jim does turn up in fanfic, it's usually in a supportive role, often mildly comedic. He's useful in a Dick/Babs romantic fic as the protective father, or in a detective story as Mr. Exposition. He's one of the few people whose opinion actually matters to Batman, and who can actually joke about him with affection, which makes him useful for taking the piss out of the Dark Knight on occasion -- but again, Alfred is much better for that because a) he's more sarcastic and b) Alfred knows everything.
Which is a shame, because Jim Gordon kicks ass.
And hey, in the time it took me to write this the other account came back up. So all is well.