Finally saw "Beyond" yesterday for the first time!
I was ...whelmed. Neither under- nor over-. It was pretty okay. Out of the three nuKelvin-movies it was the one that most felt like an episode of Star Trek, both positively and negatively.
The character interaction was great, the vfx superb, almost every line a (subtle!) nod to something Trek. On the other hand the plot was a bit hollow, everything felt rather small and episodic and clichéd. It had the same problem as the Voyager-two-parter "basics" where the crew was stranded on a planet: It had a premise that lend for an epic tale. Instead it felt like a usual "trapped on a planet after a shuttle-crash" episode.
In the first movie Vulcan was destroyed and the heroes had to save Earth. In the second one the fate of starfleet was in question. And now they had to save... a space station? That's a pretty stark lowering of stakes. Not the fault of this movie though. I'm not yet sure wether Trek09 or Beyond is my favourite of the nuTrek movies.
As a whole I think the nuTrek movies are pretty much on the same quality level as the TNG movies. They have better character interactions, effects, pacing and action. The old ones have better worldbuiling, logical plots and interesting themes. What your favourites are pretty much depends on which of those things are more important for you.
If I had to make a "favourite Trek-movies" list, the first six places would be the original TOS-crew movies (yes, even "Final Frontier", nostalgia is one hell of a drug). And for the places 7-13 it would be the TNG-movies and the Kelvin-movies alternating. Maybe First Contact-Trek09-Insurrection-Beyond-Generations-Into Darkness-Nemesis? With the exceptions of Nemesis and Into Darkness (which I both loathe) all of them could be arranged in any other sequence depending on my mood at the moment though.