The new movie is a good revitalization of the franchise. It's most enjoyable moments build on, foreshadow and deepen our appreciation of its familiar characters. The casting and actors are all superb on this score. The action is passable, although the fight scenes are poor and I wish they had put more effort into the plot.
Best piece of Star Trek trivia: Vulcan education includes rigorous training in mathematics, physics and economics. (Listen carefully during the education scene!)
Addendum: Aha! I am told unofficially that we can thank economist turned screenwriter Glen Whitman for adding the economics lesson to Vulcan!