I do like the show, but it's not Star Trek. If this was just a new sci-fi show that existed in its own universe, it would be incredible. However, the fact that they've tried to pass this off as Star Trek when it's clearly not sullies the experience.
If it wasn't already apparent, Paramount and CBS have no idea what made Star Trek great, and don't care either. The simple explanation is that the world of Star Trek is supposed to be optimistic; this is pessimistic. And I do enjoy pessimistic sci-fi, but there's so much of it, and to see one of the few optimistic sci-fi worlds turned into something pessimistic is a shame.
Fortunately, we now have The Orville, which is doing Star Trek better than anything has since Voyager ended in 2001.
The show is supposed to take place between Enterprise and TOS, but the technology is very different. For example, there are holograms everywhere. Why try to do a prequel again? Why not set this after Voyager? That would make a lot more sense, and they'd be able to add whatever technology they like, and not be constrained by existing continuity. Fortunately, it's not too late for the showrunners to say "hey, we made a mistake, this actually takes place X years after Voyager".
Last, they fucked up the Klingons. For almost 25 years, they had the look of the Klingons figured out perfectly. They're iconic. But this show (and the reboot movies) messed them up and made them look like generic sci-fi bad guys. What happened to their hair and beards? Also, the costumes are ridiculous, and their ship interiors look like they're made of coral. I do like the idea of having an albino Klingon though.
And I applaud their desire to use the Klingon language on the show, but it's pretty annoying having every Klingon scene subtitled. The previous shows used a common sci-fi conceit: the actors speak a language that the audience understands, but it's accepted that they're really speaking a different language. The viewer effectively has a universal translator so they can understand what's being said.
Also, it looks nothing like Star Trek. Once again, The Orville got that right, and this didn't.
All of that said, I do like the show. The characters are interesting (especially Doug Jones), I've enjoyed each episode, and I think the storyline is pretty interesting. But goddamn it, why did they have to try to make this Star Trek when it's not?