Alright, I went through some of the movie mistakes and picked out a few for examples:

The transport doesn't cast a shadow on the E, even though it is lit by the spotlight.

As the transport nears the dock, the red circles show that the interior there jumps down just before the shot is done. The yellow circle shows a guy whose head seems really big in comparison with the size of the doors.

This is one I spotted myself just watching the movie once. The starfield remains static as Spock's shuttle approaches, but the angle of ship moves, and the stars move on top of the nacelle!

I just now realized that this sequence of dull flipping shuttles won't be in the FFE, so nevermind. It's still upsetting that they didn't catch that in the DE.

By the way, sometimes the nacelles glow a little blue, other times they're dark. Does this correspond with the yellow/blue deflector dish, signifying the warp drive being on or off? I think that for the FFE, the deflector should always be blue and the nacelles dark. Seems to be the way it is with all of the other movies, am I right? (Random images at TrekCore show that it is the case). Maybe have the yellow deflector in drydock, but blue from the point she's turned on.