I think super hero franchises might be more popular in the Star Trek universe. Fantasy might also be a larger fandom.
I rather despair for the quality of fiction in the 24th century. After all, look at the dumb holodeck programs Naomi had on Voyager. It's not much better than "Barney" in our universe, or Teletubbies, and holy crap, those were annoying.
At least Captain Proton was somewhat entertaining, and Dixon Hill was a very sanitized version of 1940s noir novels.
No wonder they only seem to play Shakespeare, Sherlock Holmes, or Regency-era holonovels. Imagination packed up and left the building a long time before.
It's got to be like Walking Dead, where zombies had never been thought of prior to them becoming reality in the show. Otherwise, every episode would end with them watching Stargate, The Orville, Babylon 5 or whatever and just copying what they did in the same situation.
Because all the situations have been done, over and over.
And of course nobody would notice that Alfred Bester bears an uncanny resemblance to a certain Pavel Chekov...
Instead of travel to other star systems, Star Trek science fiction can be more about travel to other galaxies, other dimensions, or time travel.
Marauder Mo might be Ferengi Sci for. Or more like Indiana Jones. Who knows?
We needn't limit our view to human science fiction. Super heroes may have fallen out of fashion on Earth because of the eugenics wars, but maybe they are popular on Betazed or Arcturus. Space Ghost could be viewed as a super hero and he's not reliant on other augmented humans.
Steam Punk is a unique sub genre today. Might there be some type of retro futurism popular in the 23rd to 32nd centuries? Anachronistic science fiction stories set somewhere in the 20th to 22nd or 23rd centuries?
Captain Proton, of course. Tom Paris has a fertile imagination that takes 1950s American pop culture and tweaks it, daring his fellow 24th-century peers to ditch their stuffy little lives and use the fun parts of their imaginations again.
Considering that they all seem to be into Shakespeare and Sulu loves the Dumas style of swashbuckler fiction, I have my doubts as to whether science fiction is really that popular in the 23rd/24th centuries.
I found out that one of the people who introduced me to the SCA nearly 40 years ago is now doing live steampunk roleplaying. I must say, it'd be a lot easier to come up with costume ideas when all you need that's unusual is lace, fishnet, and a trip to the hardware store, to go along with leather and satin (or whatever other fabrics they use; I'm not into the live steampunk myself, but I've been slowly learning to appreciate it as an alternative art genre).
Actually, speaking of SCA, I'm reminded of the fact that the SCA is only 2 months older than Star Trek (founded July 1, 1966, by a group of SF/F authors and medieval history buffs including Marion Zimmer Bradley, Gordon Dickson, Poul Anderson, and numerous other well-known writers, plus the cartoonist who created the comic strip
Hagar the Horrible (the character of Lucky Eddie is based on a real person in the SCA known as Fast Eddie of the Green Running Shoes). Bjo Trimble and her husband were at an SCA meeting when someone suggested that they join a group of people picketing NBC to save Star Trek. So their group made some signs and joined the protest - in their medieval costumes.