Pros:
Plenty of hints at future exploration and boldly going.
Developing characters.
Some episodes have had intelligent scripts.
Great Starfleet ships designs.
Great Starfleet prop designs.
Good actors.
Nice Klingon costumes.
Positive, non patronising depiction of a LGBT couple.
The foundations for a potentially great show are there.
Probably better than a good 75% of Voyager episodes.
Cons:
Awful Klingon make up redesign, especially making them bald to boot.
The make up change aside, lack of Klingon design aesthetic in the exterior of their ships.
Poor delivery of Klingonese. It's so laboured and stilted compared with actors from Trek's past.
Lack of promised Klingon development beyond what has been seen before. In reality the Berman era Klingons were way more developed.
The Klingon War. Desperately boring and should have been held over for a later season as it has taken away from character development for the Discovery crew IMO.
Klingons lead me onto make up in general. The make up guys should be fired. They clearly do not know how to effectively apply make up without it hampering the actors underneath, a problem previous Trek make up departments did not have. Mary Chieffo, Chris Obi and Mr. "I am not Shazad Ltif" as Voq have all suffered in this regard, as does Doug Jones, who sounds like he has the flu every episode because he can't breathe through his nose.
Boring Starfleet uniform designs.
Gratuitous gore and swearing that hasn't be well placed and beneficial to the story, but rather there mostly for the sake of it and doesn't really work well as a result.
Boring ship interiors. Don't get my wrong, I can live with these and the more gloomy, cramp interiors make sense at this stage of canon, but I do feel they look very generic. Nothing really "wow" about them and they have been the predominant sets for all 9 episodes. Engineering is the least imaginative set of all of Trek's ships IMO.
Lack of international diversity among the human crew. Aside from the bit part actress with the African name and accent, all the humans are American.
Burnham is inconsistent. Boring one week, interesting the next.
Saru, as one of the few aliens on board, is painfully undeveloped.
Lack of exploration. Lack of new worlds and new civilisations.
Cartoon like CGI for space shots. I see to be in a minority, but I have not been impressed.
Harry Mudd. He has added nothing to the series IMO.
My list probably makes it sound like I dislike more than I like. I'd say that I'm pretty much on the fence at the moment. Perhaps leaning towards 60% positive. but overall I have a nagging sense, even when there are good episodes, that the show is a little too "generic sci-fi" and has lost some of the uniqueness the franchise had at it's best. I don't get the positive nature of Trek that I got with other series. The show feels like it is more interested in doing bleark and griotty like everything else than being it's own thing like Trek always has been. Still, we are early days and there is plenty of time for that to change. But right now it has not done enough to truly whet my Trek appetite despite laying enough threads to potentially do so in due course. I'm going to keep watching, but I do feel the show is at a stage for me that it can either go one of two ways. It will either develop and harness what Trek is about, or it will go further down the generic sci-fi route. Please let it be the former.