Well, given that the movies have barely had any time spent onboard the ship itself, or even exploring deep space, I imagine the series would be more like that. The ship will mostly just be an actual vessel from getting to point A to point B, but most of the show will be down on planets and being all actiony and whatnot. More politics and more drama than in previous series, at least compared to how much the shows focused on the ship and random technobabble, anyway.
That said, a few things I'm hoping for:
* More alien aliens, which I thin is very plausible giving the updates in CGI and SFX over the years.
* More alien worlds that are actually worlds, not just one environment and one type of species that represents the entire planet. Apparently, Earth is the only planet in the older series that was diverse in pretty much any way whatosever.
* Less focus on gimmick characters. While Spock, Data, Phlox, and the Doctor were all among some of my favorite characters in general, they really were just a crutch for hiding otherwise boring storylines and character development.
* More space battles, and interesting ones at that. I don't want them to be a constant thing, but I would like to see them a bit more often, and actually have them be a bit more believable and awe-inspiring. Stuff like the escape from New Caprica in BSG or the Antarctica battle against Anubis in Stargate are good examples of the kind of stuff I'd like to see.
* A more realistic take on the ship's grew. Enterprise was *almost* there when they started to include marines onboard, but they never quite got there. Sure, Starfleet is technically more about exploration than defense, but it is still a military organization and one in which their ships -- especially their deep space exploration ships -- regularly encounter enemy forces. It's just foolish not to have specialists trained for combat onboard.
All of that would pretty much "break the mold" for me, at least compared to the older series, while still keeping the crux of what made them fun in the first place.