Michael Giacchino has stated at a couple of events that though nothing is set in stone, they are working on a "Vol. 2" release containing wither more from the score, or the rest of the score.
He's also stated that it is likely to be all new (unreleased) material.
There is nothing official though, so it may not even happen, but the intent and effort are there.
I would love to have some of the unreleased cues on CD:
- The cue starting when Captain Robau is told to come to the Narada for negotiations, and the Kelvin shuttle going over.
- The sequence where the Cadets assemble in the hangar, and Uhura complains she's assigned to the Farragut, and McCoy injects Kirk with the vaccine.
- Pike briefing Kirk, Sulu and Olsen on the plan to shut down the drill right the way to the drop, as Pike says "good luck".
- The fight on the drill platform with Sulu's hero shot. (one of the best action cues of the movie).
- Kirk diving after Sulu and they both loose their parachutes.
- Spock rescuing the Vulcan Council from the Katric Ark.
- The Lament for Vulcan, and Spock stating that he is now part of an endangered species.
- The torture/Nero Backstory scene, with the unreleased use of the Erhu for Nero's theme. (to hint musically at the Vulcan/Romulan shared ancestry)
- The monster chase music on Delta Vega.
- The Mysterious music as Kirk and Spock enter the outpost.
- The music as Spock Prime says Live Long and Prosper and Kirk and Scotty are beamed to the Enterprise.
- The Scotty in the pipe's chase.
- The "Come with me - Cuipcake" piece for Scotty and Kirk rushing through Engineering.
- The Enterprise rising from Titan (one of my favorite moments in the movie) through to Kirk and Spock beaming aboard the Narada.
- The brief cue for the Enterprise being pulled into the Black Hole, then ejecting the Warp Core(s).
There is so much good material that deserves to be released here