I already posted this in the io9 comments, but it's an idea I've had since I first watched the new film, so I figured I'll just re-post it here to get it out there and keep it for my own records, with added comments in red.
---------------------------------------------------My ideal new Star Trek series would be this:
First off, set it in the new time-line. Why? Because while it may not please all the classic fans, it's the Star Trek that's most familiar (and perhaps most appealing) to the average television viewer.
But, since the film's cast is now (mostly) too busy for television, the series can focus on another Starfleet crew. It worked for DS9 and Voyager, so why not now? You set up a whole new 'fresh and young' cast, with some experience characters/actors as well, and you've got yourself some appeal already.
Not to mention, this is a chance to expand the universe of the new time-line outside of just comics and events that take place before the film (i.e. Star Trek: Countdown and Star Trek: Nero). I want to know what's going on outside of the Enterprise; there's a whole new universe to explore that could never be shown in a two-hour film.
Even better, depending on development time and/or filming of both the next film and TV series, you could even have this other ship and its crew have a minor role in the film, or even have characters like Quinto's Spock (w/o Heroes, what's he doing anyways?) show up for an episode arc or two.
This refers to both paragraphs: I think that the mindset for say... Chris Pine, Zoë Saldana, Karl Urban, Simon Pegg, John Cho (maybe) , and even Anton Yelchin, is that they're too big for TV now that they've each been in multiple Hollywood blockbusters, including Star Trek. So ultimately that's the reason I suggest a new, different cast. However, actors like Zachary Quinto, John Cho, and even Simon Pegg have appeared in recent television series, even if it's just cameo roles (i.e. Pegg on Doctor Who, or appearing on Look Around You, though both of these appearances pre-date Star Trek).
Sure, FlashForward and Heroes both got canceled, but I still don't think that's good motivation for a Spock/Sulu adventure series. But at least that now frees up both actor's schedules to possibly appear on the new show to bridge the gap between the new films and this new TV series. And while I think Pegg would be the kind of person to appear for fanboys, the idea of flying all the way to Hollywood just to film a cameo seems highly unlikely. Plus, I wouldn't want to rely too much on the Enterprise crew to be in this series because then the new crew doesn't get the spotlight.
Oh, and get Orci/Kurtzman/Abrams to produce, with Damon Lindelof as a lead writer, and then allow other writers to get their hands on this new Trek. Preferably, set the show up in a Fringe-like 'adventure of the week' formula but still have an over-bearing season long story arc. So that it's kind of like the Star Trek we know, with something new each week, but at the same time can keep you interested in the long run.
This parts tricky, so I'll explain: Orci/Kurtzman/Abrams should at least write the pilot, with Abrams directing, but I picked Lindelof for lead writer for a few reasons. First off, Lost is over, and while he may have only had the role of producer on the new film, he's joining Orci/Kurtzman on the writing staff for the sequel. Second, Orci/Kurtzman still have Fringe to focus on, while also producing the Hawii Five-O TV series remake, while J.J. Abrams has Super 8 and a new TV series, The Undercovers, to worry about. Of all the heads of the recent Star Trek film, Lindelof is the only one with a freed up schedule now, and a new Star Trek series with him at the helm may attract a lot of the Lost viewers that may not have watched a Star Trek series otherwise.
But, at the same time, I'd love for new writers (and maybe even classic Star Trek writers) to take a shot with this new series, especially if it was an 'adventure of the week' type formula. It's something that made the latest series of Doctor Who very interesting and enjoyable, because not only are getting good episodes from the show-runner that's had history with the series, but you have one off episodes from other writers that can give a fresh take on characters while still feeling familiar.
So yeah.. that's my ideal new Star Trek series. I'll sign the contract now.
Sure, my fanboy dream would be to have the film's cast, reprise their roles for television. But I know that just won't happen. What I'm proposing here is what I think would be... logical.