ETA: I think I've hit on the solution. Of course, it is after midnight and it may not seem so brilliant in the morning, but here's the general idea.
But I'm not sure how we should do this. Have people sign up to be an "expert" on each character and then come up with, say, 5-10 fics on that character? Free-for-all? Master posts where people comment with, say, favorite Driveshaft fics? Or some magical combo? One of the key components that will set it apart from other rec comms is that yes, people will be able to submit their own fics. What do you think?
How should we do this thing? (Check as many as you like):
People volunteer to be experts on a character and compile a comprehensive list of fic
Anyone can submit fic to a master post on that theme
People post as often as they see fit - everything is organized by tags
People can make requests, such as "Genderswap" fic or whatever.
Some other brilliant approach, which I shall explain in comments