While, at the same time, it didn't include the elements that most of us really loved about Star Trek.
What would those elements be, exactly?
Trek, at its best, tended to be very philosophical, and often turned audience expectations on their ear.
Hence, Kirk refuses to kill the Gorn... the quintessential "bug-eyed monster," after all... and the point of the episode, as it turns out, was that THIS is what makes our species worth leaving around.
The standard "sci-fi convention" would be to have Kirk beat the monster and fly off in victory... or for Nero, the 2D villain, to die in impotent rage at the end of the movie.
Time after time, Star Trek (the original, and reasonably often, TNG as well) played "flipping around" audience expectations. Instead of giving us simple, predictable "action/adventure" it made us THINK.
Star Trek, at its best, had a philosophical core that, as far as I'm concerned, Abrams' version not only lacked, but actively opposed.
Want to know how ST'09 could have been made into a "classic Trek" concept?
Make the connection, to Kirk, of his father's death to Nero much more prominent. Make it a driving factor insofar as Kirk is filled with rage over the death of his father. That, I think, would have required the "Kirk born at the same time his father died" to be left by the wayside... but that would be no great loss. I think having an adolescent Kirk being "on the phone" with his dad when Nero shows up and kills him to be much more emotionally-intense than "I never knew my dad."
Make the connection to Spock much more "personal" as well. I'm sorry, seeing Vulcan destroyed was just too much... it was an over-the-top SFX shot, not really a "personal loss" thing. Make the death of Amanda that much more personal... play her up as a character, rather than what was effectively a "walking prop for Spock." Make the audience care about HER, then have her die, in a nasty fashion, with a helpless Spock seeing everything but being unable to do anything about it. (Remember, she died off-screen, and probably pretty much instantly, in this movie... and she was never developed, on-screen.)
Have Kirk and Spock both driven by the desire to destroy Nero utterly...
... and then turn that on its ear. Instead of "killing the bad guy," have Kirk and Spock both agree that the way to resolve this is to take the "jellyfish" to the star which will eventually go "super-hyper-masso-humongo-nova" (and destroy Romulus), and "pre-empt" the event. Kirk, commanding the Enterprise, sacrifices himself and his crew to delay the Narada so that Spock, in the Jellyfish, can get to the star and do what has to be done...
... and he succeeds, thus, actually SAVING Nero, well as reversing everything else that was "turned on it's ear" by Nero's arrival.
End the movie showing Nero, in the late 24th century... the one we know... as the first Romulan to serve as a starship captain in Starfleet... being congratulated by his mentor, Nimoy's Spock.
THAT would be a "classic Star Trek" story. Much more personal, much more hopeful, and with a message... that sometimes, to win, you have to put aside all thoughts of personal revenge... and that sometimes, you have to "love your enemy" in order to prevail...
Instead, we got "big shocking events" and "2D bad guy dies screaming in impotent rage." AGAIN.