This trailer is about two weeks old, but I did not see it until today and I do not think that it has been posted on here yet. It features William Shatner and his enemy the Gorn.
As seen in the trailer it looks like in the game Kirk has some special types of moves that mimic the classic fight from Star Trek original series episode "Arena" that featured the fight scene in question.
Here is the fight scene from the Star Trek episode.
Star Trek is an upcoming third-person action-adventure Star Trek video game, developed by Digital Extremes and co-published by Namco Bandai Games and Paramount Pictures, for PlayStation 3, Xbox 360, and Microsoft Windows featuring the voice cast of the films and set to be in cannon with the film universe created by JJ Abrams.