1. The ship was shot like it was the monster from Cloverfield, you hardly saw it. Too much use of "jiggle-cam". 2. Simon Pegg was too cartoony. 3. Phasers looked a little wimpy. 4. The plot of a captain of a mining ship destroying everything in his path was a little thin, would've liked a little more of his story. Otherwise are we to believe any ship that is flying out there is capable of Armageddon?
I'm a picky Star Trek but I really did like the movie very much. I loved Mcoy and Kirk together. And of course having Nimoy was great even though he didn't quite seem like the "same old" Spock.