New movies, Hmm. Depends if they want to stay in the Kelvin universe or not.
Example A - Kelvin Uni -
New crew in the tos/refit era, have an admiral kirk cameo if you'd like.Go off in a new direction. Space station? Or, how about a Trilogy, a "Voyager" knockoff as it were. Have 3 movies, and span a voyager style story over them. Throw a ship in to the megelanic cloud, or elsewhere, have the ship get beat up, hell blow it up, and have to use a "local" ship to get back home. Maybe get thrown in to the Delta quadrant and encounter the borg. or have a build up, and have the 3rd movie be the borg.
Example B - Prime Uni -
New crew, set after Nemisis and post Hobus supernova. You have Quantam Slipstream. Thinking the Full Circle book series, but with a new crew, and they take a small fleet of ships to say the Meglanic cloud ( Yes.. one track mind) and have there own adventures up there. Again a trilogy with a begining, middle and End. And since its after everything, sky's the limt, unlike with all the prequal stuff, no limits.
Example C - Prime/Kelvin
New Crew, Romulan War story line. Again trilogy, Start, middle, end. Have Enterprise people cameo.
New series idea, Mini series, Romulan war. but with each episode, the viewpoint changes. One episode is the Starship Columbia, Next episode is Romulan ship Thx 1138, next episode is as a spy on romulas ( Trip Tucker

) Or maybe a Anthology series, set in the war. One episode is all 1 ship, and then they die at the end of it..
The problem is.. Villians.. most movies achelies heel is the villian sucks. Nero, Blah, Neo Khan, kinda okay, Krall, meh.. Make a good villian! Not enterchangeable villian A