Every Trek movie, save for perhaps The Voyage Home, has been an action movie.
None of these really fit the traditional high-concept ideas usually attributed to the television version of Star Trek.
Insurrection comes close, mostly because they did that plot once already ("Homeward"). But it's still boils down to a rebellion and combat sequence by the end.
The original Motion Picture is another close one, however glacial the pace. Definitely the most cerebral of the franchise, if you can take enough caffeine to keep yourself awake through to the end.
The Voyage Home is the least violent, yet possibly most generally well-received out of all of the pre-Abrams movies. Combat generally comes down to Gillian Taylor slapping that guy at the aquarium, and a mannequin of Chekov being thrown off the edge of a platform.
Wrath of Khan is the undisputed fan favorite. And that was a bloody, violent war flick.
Complaining about Abram's take on Trek because of it's focus on action is basically damning the majority of the movie franchise. Star Trek movies are a completely different animal from it's television incarnation.