I think most of my "Do not Want to see in the New Star Trek" list would be about character. . . I don't want "The Big Three and the Seven Dwarves in space" . . .
I think every character should have relationships with the other characters, and not only have a life outside of their job description, but if they are there, they should have a reason to be there. . . No more: "Hailing Frequencies open" or "I feel it's angry, Captain" or The blind guy is driving the ship joke that got old real fast.
I think it is time to retire the "alien character who is held up as a mirror to humanity" character. . .why can't the humans be held up as our own mirror? And it really became a crutch in later shows.
I definitely don't need to hear a character "speechifying" the moral of the story. . .real people rarely speechify at each other. . . and I'm an adult, I can figure out the moral of a story on my own, thank you very much. . .
Things that happen, or lessons learned in one episode should matter or illuminate the characters in later episode (no character "reset button"). . . if a person has an allergic reaction on some away mission, at least show them getting shots the next time they go off ship. . .
I think DS9 was the Star Trek that developed its characters the best, but even it didn't really do it well until there started to be an arc based series. . . In my opinion, an example of a show with characters done right from the start would be Firefly. . . we learned more about all 9 of those characters in 14 episodes than we ever learned about Crusher, Troi, Riker, Merriweather, Hoshi, Sulu, Uhura, Scotty, Kes, Chacotay, Neelix, Kim. . . hell, we don't even really learn as much about Kirk, Spock and McCoy in the TOS as we learn about Jayne and what motivates him. . . I want characters who are more than character traits and catch phrases (yes, I'm looking at Spock and McCoy, here). . . On Firefly, even the least developed characters (Book and Inara) had hints dropped about why they were there on the ship, and an implicit promise to develop their stories more. . .
Good storytelling is ALWAYS ALWAYS ALWAYS about the characters. . .get them right, and it doesn't matter if they do time travel or have aliens-of-the-week, or God-like creatures, etc. . .
~FS