Having seen it now, I have to say that
Star Trek Beyond continued the NuTrek (or whatever it's called) traditions of:
1. Hard to watch action sequences (My eyes must be getting old.)
2. Beastie Boys music
3. A talented actor cast as a crappy villain.* (Though, that predates NuTrek, back to at least the last two The Next Generations movies. Seriously, after Nemesis I though Tom Hardy was an awful actor...he's taken much better parts since.)
4. Relying some reveal to distract from what is, at best, a mediocre story with clumsy exposition. (Though, I think a recent trailer may have given the "twist" away.)
*I won't comment more on the villain, because that's gives away too much if you've managed to avoid spoilers.
There's a lot of aliens whose heads look like sea creatures. I almost expected Hammerhead to appear.
Some nods to the passing of Nimoy.
It was fairly entertaining for what it is, just an action movie in space in Trek attire, but that's another part of the NuTrek tradition...which, to be fair, started with The Next Generation movies, the current series just found a way to make them have more mass appeal.
So decent entertainment with some nice character moments, but if you haven't loved the reboot Trek, this will not change your mind.