I've seen in 3 times since it came out 3 days ago. It's definitely more polished than the first Abrams version of Star Trek. The characters are a little more fluid, though in the process, some of the TOS-copying fades, so Kirk is less Shatnerian than before, for example. Obviously, not necessarily a bad thing.
What follows IS from the movie, but isn't significant to the plot. That said, you might be able to figure out things and spoil the plot for yourself if you read this first, so I'm going to label it a spoiler anyway. I did scramble the order and kept it vague, so you probably won't have anything spoiled. Still...
1. On the desk early in the film is a series of ships from the Wright Brothers up to the "modern" style of the series. The ships are the same ones that appear in the Enterprise opening sequence up through the NX-01 Enterprise, then continuing with the addition of the NCC-0514 USS Kelvin - George Kirk's ship from the 2009 movie, and the last one is new.
2. The D4 designation you hear midway through the movie is wrong. It was mentioned in TOS as something obsolete that would have been unaffected by the 2009 movie's alterations.
3. Once again, Abrams was great on keeping things explained in a manner true to the Star Trek that came before, but he is also again far from the science-roots of the franchise. The major WTF this time was "cold fusion".
4. It took me three times seeing the movie before I figured out where the injury occurred in one scene. First time I thought it was the arm, second time I thought it was the abdomen, but the third time I was ready and saw it clearly - the injury will merely result in the bruising of somebody's upper thigh. In order that some sense of mystery should still be preserved no revelation will yet be made concerning whose upper thigh has been bruised.
5. Yes, that scrape you see is in the shape of the Starfleet chevron, but reversed. In one scene, they screw up and the scrape is a haphazard crosshatch instead in the medical bay, but before and afterward it is in the chevron shape.
6. The old movies had the chevron with a ring around it represent Captain rank and above. This movie keeps with that and also has 4 bars on the shoulder to represent Captain rank. That said, they do screw this up with one character.
7. The glare is still there, but more muted this time, so it's tolerable.
Listening to: Doctor Who (Big Finish Audio)
Watching: This screen
Drinking: Not enough water