OK, I saw the new Star Trek (2009). It was awesome and I enjoyed it immensely.
Now that that's out of the way, the nit-picking can commence. Spoilers follow.
No, seriously, SPOILERS FOLLOW.
1. The creators of the film obviously have not the faintest conception of how much distance there is between planets, nor how fast light travels. The Enterprise leaves the (former) location of Vulcan at some multiple of the speed of light ("Warp 3"), and after many, many minutes of events on the ship, ditch Kirk on a remote ice world... which is still somehow near enough Vulcan that it could be seen clearly in the sky, probably no further than the moon is from Earth.
2. Spock is ditched on this planet to observe the demise of Vulcan. That's some pretty excellent planning, making sure that he is located on the exact location on a presumably rotating planet to ensure he has a clear view of the planet's demise, even though the timing of the event was fairly imprecise.
3. I can grant you could teleport onto a ship at warp speed, whatever. Except, the ship had been travelling at warp speed for potentially hours by that point. If the transporters are capable of operating over that kind of distance, what is the point of having starships at all?
4. Oh so many more, but I'm out of time. Try Bad Astronomy for more.