I ship Rory/Jess and Rory/Paris too. As much as I love Lane/Dave, I don't think I've any fic where they weren't a side ship. For Literati, I would recommend:

missgoalie75; they've written a lot of excellent Rory/Jess fic and they also wrote one Paris/Jess fic and it was well written but I wasn't a fan of the Rory characterization.

MrsMess has also written a lot of Rory/Jess fics that are interesting and well written.

ultra has written many Rory/Jess stories too, and she's a good writer.

the weight we carry by peterstank is a long one. I only started to read it but it was good.

buries also wrote me an excellent fic that did have some background Lane/Dave: spooky hollow

tosca1390. has also written some Literati fics.

hold on to the memories (they will hold onto you) by silverlandings , where Rory wishes she never met Jess and gets her wish, was good

pambeesly has written a few Literati fics too. I liked the FWB one that I haven't finished reading yet but since it is going to be part of series, you may have to be warned that that fic may not have a happy ending. IDK for sure though.

For Rory/Paris:

dollsome has written the ship many times, which you can find here. She also wrote two Rory/Jess fics, but she doesn't ship them anymore.

Hope you find something you like and haven't read!