Once the characters are established, then a mirror universe excursion might be quite good to where we can appreciate the alternate personalities. TOS gave a fun glimpse as a typical one-off story, DS9 overdid it (though the actors are clearly having fun and most of it extends to where the audience loves it as well! Avery Brooks, who's also a good director, definitely makes his alternate Sisko worth watching. Kira too, though Nana Visitor did overact a bit in "Through the Looking Glass"...) I dunno. A good story is what's needed. And, yeah, no more time travel. TOS used it sufficiently sparingly, TNG and spinoffs dipped from that well too often. Still, it's iconic to Trek to have at least one excursion to go into Earth's past so all the evolved people can poke fun at the savages while being fish out of water yet again... It's ironic, Voyager's two-parter was arguably the best of the bunch despite not asking how they could get to Earth from the Delta quadrant so quickly then back... Otherwise, TOS' TV outings were the best, as a tie if not slightly better. And thanks to Doctor Who of the last decade or so, they could show a new Borg nursery in STISC and that alone would win awards for making cybernetic beings a genuinely scary threat in sci-fi again.
Since I never answered the original question (well, I kind of did but in another thread entirely): I like moving forward, and ideally I would want to set my own series soon after Hoban goes boom. On a ship "opening up" formerly forbidden space. The collapse of the Romulans holds all sorts of possibilities: Political Intrigue among the remnant fashions, subject species never before seen, old resentments kept down by Romulan power now bubbling to the surface (Like happened in Post-Tito Yugoslavia among other places), the reappearance of whatever other "matters of greater urgency" caused the Romulans to take their long sabbatical (that one Lost Era tale can't be the whole story, can it?), dark new powers on the rise on the other side of Romulan space...
Since so many are set on moving Trek forward in time, I would like to take this to its ultimate conclusion, and have a whole show set at the end of the universe. Not at a physical boundary of the universe, but the moment in time when the universe comes to an end. There would be a space station somehow temporally stuck at that time period but unaffected by the destructive forces. The main attraction of this space station would be a restaurant, and there would be all kinds of interesting guest stars of the week as characters time travel from various eras in history to witness the end of the universe and use the scenario to their own ends, sometimes altruistic and sometimes nefarious. This could even tie into the beloved Temporal Cold War. Kor
I'll second that, and I also wish that we were getting a show set in the Kelvinverse myself instead of a prequel show set in the prime older continuity (the idea of setting a new show in a previous continuity when you've just set up a new one that's quite successful is like Marvel or DC setting up a new continuity then setting up one title set in the previous continuity just for fans that don't like the current one), but alas, due to corporate bullshit between CBS and Paramount, we won't (and the ending logo to such a show would be easy to do, too; first the production logo of Bad Robot, then the logo of Paramount Television, then the logo of CBS Television Studios.) My show idea would be a different ship or space station, with a guest starring cameo in the first episode by Chris Pine as Captain Kirk, then cameos in a few episodes, say, one at the end of the season by a different crew member scattered through the season, and a connection to the main Kelvinverse movie series script-wise similar to how the Marvel TV shows and movies are connected. EDIT: That said, I'll try to give the new show a chance.
this. i'd like to see a hybrid of what it looks like we're getting from discovery with what we got from the prologue of trek 09.
I wouldn't even watch a show set in the Kelvin universe. I'm not thrilled about the setting of Discovery but I'm willing to give it a chance. I would not do the same for a JJverse show.