Despite many discussions on this point, I still do not understand why 09 and ID are not considered "Star Trek" by many.
I mean, Beyond is a great, fun film, and has lots of fantastic character moments, though some are a bit over the top for me. But, I'm not sure what Beyond has that the others didn't.
I'd say that
Beyond first of all, gave the non-Kirk and Spock characters more to do. The Spock/McCoy relationship (something that was an important part of the TV show) was used in
Beyond, something that the previous two movies had not used much, if at all. The makers did their homework and the ENT-era materials were design-accurate to the TV show (unlike in the first movie, where none of the ships from the original timeline looked like they belonged), and the connections made sense (I think
Into Darkness knew that Khan was popular, but didn't really understand why).
IMHO, this was the first movie that captured the spirit of the TV show it was based on. The characters were all closer to the TV versions than they had been previously. We finally got away from Earth and to top it off, the battles and the space station setting were more creative and better executed set pieces than we got the first two times around.
Nothing makes me roll my eyes harder than the "not real Star Trek" nonsense. I mean, there are episodes of Trek that I think are embarrassing or atrociously bad *cough* The Perfect Mate *cough*. But they're still Star Trek. It's just, y'know, bad Star Trek. We can have that discussion. But as soon as someone tries to build a fence of their own design around what they consider the "Trve Norwegian Black Metal" of Star Trek, I check out. It's gatekeeping. I'd much rather talk about content and ideas, not who/what is a "poser."
First of all, everything I say is IMHO. Second of all, even if not literally true, that is an accurate statement of how I feel about those movies, so by saying it I'm explaining where I'm coming from. Thirdly, as a viewer, I'm not obligated to "accept" everything I'm presented with. If I don't see how it fits the bill, I'm perfectly within my rights to explain that, esp. since I'm not forcing it on anyone. If you like those movies, fair enough.
The question I have with any major change to a franchise is how far can it be twisted before it becomes something different? Maybe I should've put it that way, but when seeing those movies, it's lacking somehow.