I'll just post some thoughts here, as there is so much traffic in the main Beyond review thread that it's easy to get overlooked.
Basically I was disappointed. Part of this was due to negative experience in the cinema - the screen was small and rather dim, and where I first sat smelled of feet. I moved to the front, which was better except for the green "Exit" sign glaring to my left. Perhaps for these reasons, it took a long while for me to start enjoying the movie.
The opening scene was supposed to be funny and scary, but I wasn't impressed, maybe because the comedy of the aliens undercut their scariness, and Pine flailing at CG figures was not very convincing.
Kirk's discussion with McCoy wasn't as heavy and theme-establishing as I thought it would be. The main beats were already in the trailer.
Despite the general praise, I was not particularly impressed by Yorktown. Perhaps it was better in 3D, but it should still work on a normal screen.
I only really got into the movie once the Enterprise was being attacked. The effects were really visceral and sold the drama. Sold it better than the actors, to be honest. The ship is being destroyed around them, and no-one looks more than somewhat worried (except Uhura).
What happened to the crew was unclear. From the damage, you'd assume that huge numbers died, but we are told the crew is being "taken". Later we only see maybe two dozen crew on the planet. Then it's unclear if the rescued crew go on the Franklin back to Yorktown. We never see them, except one dead redshirt who at first I thought might be Scotty.
Kirk really does not seem very upset by what happened to his ship and his crew. His lack of reaction is bizarre and undermines the drama of the plot.
As a number of people have observed, the action sequence that happens in the wreck of the Enterprise is very difficult to follow.
I wanted the Spock/McCoy scenes to be great, but was underwhelmed. The dialog felt forced, and I never really bought that they were in danger, even Spock with his wound.
Jaylah is certainly a cool character, but I wish they'd given more background to how she had survived, e.g. show old bones and a cooking pot, or sleeping quarters she has made into a nest.
My favourite part was just the characters talking on the Franklin. It made me realise one reason I like ENT is that the small ship size makes the relationships and dramatic moments more intimate and intense.
Krall is a crap villain. I don't care if it is Idris Elba, he just growls away being "evil", with no depth.
His plan doesn't make sense. Why did he lure and destroy the Enterprise? We can guess that he needs people to serve as "fuel" for his life-extending technology, but this is dealt with in a blink-and-miss-it way. He doesn't need the Enterprise in order to attack Yorktown. In fact, if he didn't bother trapping the Enterprise, his attack on Yorktown would probably have succeeded with no problems.
The climax, from Sabotage to showdown at Yorktown, was okay, but sometimes I was seeing stuff move around the screen with no idea what was going on.
THEMES
What is the movie about? If you've seen the trailer moments, and read the interviews, you'll have guessed it's about unity. Kirk and Spock are doubting their mission. Krall says "Unity is not your strength, it is your weakness." The heroes get together and beat Krall.
But as for the idea that this movie represents some sort of call for unity at a time of conflict, that doesn't really stand up:
- Do our heroes fall into Krall's trap because they are disunited? No, that has nothing to do with it.
- Do they learn lessons about how they are stronger together than apart? No. It's true Spock survives thanks to McCoy, but this seems incidental and is not made a big deal of.
- Do our heroes work together at the end? Of course, but this is no different to what they've always done.
- Is the theme addressed in the way the plot points are wrapped up? No. Kirk rejects the Vice Admiral position because it "doesn't sound like fun." Spock sees a pic of Spock Prime with his crew, but I can imagine that actually being an argument for leaving Enterprise ("He has already lived this life; I must follow my own path").
- The big three are looking forward to exploring what's "out there", but unity and togetherness don't get a look-in.
It's odd, because Lin deliberately echoes the composition of an early scene, when Kirk and Spock are both thinking of leaving, and Kirk says, uncertainly, "We make a good team, don't we?"
Lin echoes this scene visually at the end, but the words are just general pleasantries. I wish they'd had this exchange:
SPOCK: We make a good team, do we not?
KIRK : [smiles] I believe we do.
That would have underlined the supposed theme of the movie, clarified why Kirk and Spock are staying on Enterprise, AND been a great character moment.
Overall, my reaction is one of sadness at so much potential squandered. In terms of dramatic interest, thematic interest, and character moments, this seems the least of the three Nu movies.
But I am looking forward to watching my own copy at home, with better conditions than in the cinema, and hopefully finding a bit more depth and enjoyment in the movie.
Make no mistake, I certainly do not. 
I saw the movie yesterday. I really liked the Enterprise elements of the movie. I really enjoyed watching this one. I liked how Leonard Nimoy 's character was dealt with in the movie. This movie was certainly better than Star trek into darkness.
