One of the things that I personally enjoyed about Star Trek 2009 were all the callbacks and homages to Star Trek of old. The movie was literally littered with them. Some were overt, such as "Dammit Jim, I'm a doctor, not a physicist." Some of them were more subtle, such as Spock's dressing down of Kirk in front of the academic committee mirroring his conversation with David at the end of Wrath of Khan.
While some people viewed the endless references as a sign that the movie couldn't stand on its own without falling back on Old Trek, I didn't see it that way. Having said that, I do kind of hope there are fewer references this time around.
Now, having said THAT... there are still some things that I'd like to see. At the end of Star Trek 2009, they played an arrangement of Alexander Courage's original Star Trek theme. What I would personally like to see is the same treatment (or even more so) be given to Jerry Goldsmith's theme for Star Trek TMP (which was of course reused for Final Frontier and TNG). For me, that theme (combined with the fanfare from Alexander Courage's theme, the way it was done in Final Frontier) has always been the theme for Star Trek, even more so than AC's theme. Blasphemous, I know.
Another thing that I think could be used for good dramatic effect is a mirror of the conversation that Kirk has with Carol Marcus after they're stranding inside Regula, where they're talking about David. I know it's been spoiled that there's supposedly no romance between them in Star Trek Into Darkness, but of course there could still be down the road. The setup would be them having a son together, and Kirk faultering in his relationship with both Carol and said son (assuming David), leading Carol to tell him "Are we together? Are we going to be? You have your world, and I have mine, and I want him in mine!" To me, that would be chilling.
Is there anything that you hope they reference, either overtly or subtely?
While some people viewed the endless references as a sign that the movie couldn't stand on its own without falling back on Old Trek, I didn't see it that way. Having said that, I do kind of hope there are fewer references this time around.
Now, having said THAT... there are still some things that I'd like to see. At the end of Star Trek 2009, they played an arrangement of Alexander Courage's original Star Trek theme. What I would personally like to see is the same treatment (or even more so) be given to Jerry Goldsmith's theme for Star Trek TMP (which was of course reused for Final Frontier and TNG). For me, that theme (combined with the fanfare from Alexander Courage's theme, the way it was done in Final Frontier) has always been the theme for Star Trek, even more so than AC's theme. Blasphemous, I know.

Another thing that I think could be used for good dramatic effect is a mirror of the conversation that Kirk has with Carol Marcus after they're stranding inside Regula, where they're talking about David. I know it's been spoiled that there's supposedly no romance between them in Star Trek Into Darkness, but of course there could still be down the road. The setup would be them having a son together, and Kirk faultering in his relationship with both Carol and said son (assuming David), leading Carol to tell him "Are we together? Are we going to be? You have your world, and I have mine, and I want him in mine!" To me, that would be chilling.
Is there anything that you hope they reference, either overtly or subtely?