Todd VanDerWerff argues How to save Star Trek: Make it the True Detective of science fiction. That is, he wants to use True Detective's format, anthological miniseries.
Hannibal and Pushing Daisies creator Bryan Fuller (a Trek alum), for instance, would love to make a Trek series with Angela Bassett as captain of a starship. With the anthological miniseries format, both Fuller and Bassett could squeeze a 10-episode season into their busy schedules.
Or think of what Battlestar Galactica's Ron Moore (who worked on many Trek series before BSG) could do by returning to the universe that gave him his big break in television, with everything he's learned since. Wouldn't you kill to see him reunite with the Next Generation cast for one last big adventure?
The wickedly sly and funny Jane Espenson, who's written for everything from Buffy to Once Upon a Time, also worked on Trek. Give her a dream cast and the budget to make a series of adventures featuring that cast, and I'd bet you'd see something amazing, and possibly more comedic than Trek usually gets.
Or just return to the roots of the anthology drama itself, to shows like The Twilight Zone, where the premise and characters changed not with every season, but with every episode.
Have one showrunner (Moore, perhaps?) gather a bunch of their favorite writers to come up with one killer Star Trek episode each. Hell, maybe even bring back William Shatner for one of these episodes, as a sort of "Captain Kirk in repose" hour. (Yeah, the series sorta turned to that idea in Star Trek: Generations, but it's still a potent one.) Just 13 singleton episodes of Trek, featuring all-star writers and actors. You don't think Netflix would put up the money for that?
I'd certainly watch this. Though part of the joy of various Treks was getting invested in the characters over time. You're not going to create a character as beloved as Picard in just 10 episodes, but reusing some cast in multiple seasons would be solve that.