I'm following this viewing guide, as suggested by someone on here.
Initially I was a bit hesitant about watching this show, because I don't think Rebecca Romijn is the right actress to play Una (nothing against the actress, I just see Una as more reserved, like Majel Barrett portrayed her), and I also don't get why Pike has grey hair (or am I mis-remembering the Short Trek episode?), but I finally gave it a go, and watched the whole first season in one sitting. Imagine my surprise to find out that season 1 isn't even about Pike's Enterprise.
Well, in general, I found it to be quite enjoyable. The different story arcs were pretty exciting, for the most part, and none felt like they were moving too fast or too slow (other than Michael getting accepted by the crew, this did feel too fast). I particularly liked Gabriel Lorca (talk about an "inspired" name). Aside from the character himself, I like the idea of a Terran successfully infiltrating Starfleet/ the Federation. Sure, in TOS we're told that Terrans are too base to fit in, but since the Federation was at war, it made for a perfect cover for him to be there. I actually knew that Terran Lorca was a character on the show, but I didn't know that it was him the whole time, so I was actually a bit confused whether or not Starfleet knew that he was Terran as well. His attempted revolution in the Mirror Universe, in the later episodes, was also great. Not only was he well respected by his old crew (which is apparently quite rare for Terrans), but his whole plan was so well-executed (I mean, sure, it was very unlikely in general, hinging on a lot of "if's", and a plan is only as good as the opposing party is stupid, but still). At the same time, having Terran Georgiou become a Federation captain was less interesting. Yes, it made sense given the circumstances, but maybe it's because she wasn't really hiding who she was and you knew she was up to something that it just wasn't satisfying.
Among the things I didn't like:
The elephant in the room: the Klingon redesign is all sorts of weird, and I couldn't find a conclusive answer online as to why it was necessary (other than "the showrunners didn't know what Klingons are supposed to look like, and didn't care", which is fair, but still). At least, from what I've read, season 2 redesigned them to be more in-line with their proper look. Interestingly enough, there's a Trek fanseries from the 90's that featured a Klingon that didn't look like Klingons are supposed to (grey skin, hairless, though with ridges).
Michael getting court marshalled for starting a war when she was trying to prevent it, and the war started exactly because she didn't act when she had the chance. The show makes it out as though it was her fault for acting against Starfleet/ Federation principles in the first place, but none of the bridge crew even tried defending her actions? Not even after seeing that her pre-emptive strike could have prevented the war? Talk about being unpopular.
So the prison transport shuttle's pilot somehow untethered and that was that? No mention, or anything?
Prime Landry dying like an idiot: you'd think a person like her would have known better.
Prime Lorca's disappearance was never addressed in any meaningful way. Sure, it's implied that he got switched into the Mirror Universe and was assumed to have not survived, but that's it? A decorated and respected captain, a lover and close friend of a Federation Admiral, and... nothing?
Why didn't the Discovery have any red-marked uniforms? Enterprise, which is set earlier in the timeline, had them; TOS, which is set later, also had them (I think season 2's USS Enterpise also has them?). So what's the deal? Or was I not attentive? Also, whatever happened to the black badges?
Letting Mudd and Terran Georgiou go was a stupid decision, however honourable, and I'm sure it'll come to bite them in the ass later on.
Speaking of which: swearing. I'm not very familiar with newer Trek, so is swearing acceptable now? Sure, it was just two-three instances in the entire season, but still.
Detmer was underutilised despite constantly being on-screen. Other than her avoiding Michael in the very beginning, there's no interaction between them whatsoever. You'd think they might have wanted to do some catching-up after their original ship was lost, at least after the crew had warmed up to Michael, but no. In general, there are several characters that get names, are constantly on-screen, but who are entirely irrelevant to the plot (Detmer, Airiam, Owosekun, Rhys, Bryce - I swear, I had to look their names up). Maybe they become more relevant in further seasons, I don't know.
Saru tried to sabotage the mission on Pahvo and there were absolutely no repercussions for it. We're told that it's because, for the first time, he was not afraid, but that's still a serious transgression. In times of war it's grounds for court martial or even execution. But sure, Starfleet/ the Federation isn't about that, it's about respecting one's right for self-fulfilment.
I was also partly disappointed that Tyler's relation with L'Rell wasn't some kind of stockholm syndrome. Could have made for some interesting character dynamic/ exploration, but whatever. Him being surgically-altered Voq worked. Although the way Tyler-Voq was handled was still disappointing.
Some of the plot beats were predictable.
Yeah, but other than that, I liked the season. Sure, it could be dissected further, but I don't wanna do that.