Alright, here is what I pulled from "Star Trek: The Game", plot-wise. It's not very detailed, but there are spoilers for the game I guess:

The plot is fairly standard. A Vulcan research station on the edge of a sun is sabotaged, Kirk & Spock meet a Vulcan scientist named T'Mar who takes them to "New Vulcan" (Which is strangly identical to Original Vulcan). She reveals that the Vulcans have been working on a Macguffin that is so powerful that it can rip holes in space. Of course, something immediately came through. That something is the Gorn, who then steal this Macguffin, kidnap T'Mar's father, and escape. The Enterprise then goes to a nearby space station, where Evil Commodore Daniels is mean for some reason. The station is attacked by a Gorn fleet, T'Mar is kidnapped, and a Gorn makes it onto the ship. He is stopped, but a mind meld reveals that the Gorn are from another galaxy which they have completely enslaved, and with the Macguffin they will be able to go from galaxy to galaxy to enslave everything. Kirk takes the Enterprise through the hole in space to the Gorn planet where they are keeping the MacGuffin, eventually destroying it, fixing the Enterprise, and going back through the rip in space just before it closes. In a captain's log to end it, Kirk mentions that they are being sent to the planet where Into Darkness starts.

Here are the things I want to point out:

These Gorn are from another galaxy and can infect non-Gorn into zombies. None of this happens in the Prime Universe, so I'd like to think that parallel evolution allowed another Gorn race to do this in another galaxy, but the Rubber Suit Hissing Gorn still exists in the JJ-verse, they just haven't been discovered.

Kirk and Spock are captured at one point, and forced to fight ("Amok Time") in an arena ("Arena"), while aliens watch ("Gamesters of Triskellion").

The Enterprise interiors are rendered fairly accurately, thought everything is way too close to each other (Spock's quarters are about 20 feet from the bridge), and some places are named oddly. "Take the turbolift to Warpcore" was an objective my wife and I were laughing about, closely followed by being sent to "Medbay" to talk to Bones (we both started shouting about "SICKbay", then called it things like "SickMed"). At one point you get to see "Warpcore", and it is a lot more traditional Engineering-looking, though you do pass through the brewery set to get there. The shuttlebay is just as massive as it is in the movie, making the inside of the ship very TARDIS-like.

The transporters never seem to work (unless its the really clever level where you have to beam each other from platform to platform), so there's a lot of jumping and flying from ship to ship or base jumping from one area to another. Which admittedly is more fun, but its still odd. I mean, you do it a lot (though they did do it in 2009 and looks like they do it again in ID).

You can get "commendations" in the game for playing "like a true starfleet officer". These are mostly "don't alert any Gorn by sneaking" or "don't kill any infected crew members". But most of the time you're just shooting Gorn. Dead or alive, they're going down.

The biggest issue I have is the game ending with the crew being sent to the planet to start the next movie. The ship has huge chunks missing, there are still loose Gorn onboard I'm sure, parts of the interior were on fire... I'm sure none of that will be mentioned in the movie. Also, the writer worked with Kurtzman and Orci so this is "canon" in the JJverse. The problem with that is that the "Countdown to Darkness" comics which are also "canon" end with the crew being sent to the planet to start the next movie. Both can't be "canon". They were doing so well keeping things straight, they had maybe 30 comics & one movie, all of it was working out pretty well. Then they sign off on contradictory lead ins to the second movie. Oh well. I'm pretty sure the comics are more "canon" in that they are about Kirk questioning the Prime Directive and don't end with the Enterprise in several pieces. But they could have had the game lead into the comic instead of creating this contradiction with the very few things they could contradict with.