I've seen the film five times now, once on IMAX, and I still enjoyed it thoroughly each time. During the last viewing, one thing in particular jumped out at me that I didn't notice before.
The bit on the Jellyfish between Spock and Kirk when Spock calls him "Jim" for the first time. It was as if, in spite of all that they had between them thus far, in the heat of the moment, we got the first true glimpse of the Kirk/Spock friendship in full force. Spock quotes the likelihood of success and Kirk just exudes pure-Kirk confidence that the plan will work. Great, great moment that kind of slipped by me the first few times.
In addition, I loved:
Everything about the Kelvin sequence. I nearly cried the first two times I saw Kirk's birth.
The limited use of obvious soundstages. The drill fight could easily have been inside a stage and lit with artificial lighting, but they did that part outside for the natural lighting and it showed big time.
Scotty. Yes, he was comic relief and he got some great lines in, but they didn't dumb him down or make the comedy come at the expense of his character. He was funny, but not made fun of.
The transporters. Yes, yes, yes! Make transporting seem difficult and dangerous again! It takes skill to operate a transporter...not just punching buttons and letting the computer do the work. Makes it a much more dramatic device and less of a cop-out.
I could go on and on, but those are the big ones to me...casting, effects, little details...these were all great as well...
