It is so difficult to rate. It's quite enjoyable but also has so many irritating faults. Not to mention that it's rated really high and by that was a total letdown.
The overall idea is great and the only thing that kept me from dropping it. It was enjoyable but I'm still half-thinking it was wasted time.
-----possible spoilers ahead-------
Plot is net, meaning more holes than substance. A wide universe but Yamato always manages to step into a trap when far away from enemy planet but can move easily when close to it. And the whole plot net is held together by string of once in a life concidences. Yuki's appearance, the accident.
The science is really bad. So bad that I wouldn't tag it as SciFy (Military too but on that later). First of all, I guess you figured out the author is really into boats and submarines. I could accept Yamato designed after a boat (but even that is so unrealistic) but putting in submarine surfacing or submerging for different situations like other dimensions is pure a-pull. And to expect me to believe races from far away use similar designs? And are really similar to humans (in both appearance and culture)? This is clearly a lack of imagination (and possibly of knowledge how evolution works). Then there are the canons that look like shell canons (and in fact are capable of shooting shells too which is the most impossible thing here), where no possible difference of how laser weapons work are thought of.
Also, some currently unavailable technical improvements are used like powerful lasers, thrusters, FTL but everything still looks like 90s. It might be a remake of an old series but some visual improvements would have been nice. If the 70s version was the same then that was innovative but this just seems like low effort. And it seems like mediacal technology didn't evolve much except for some narrow areas (like prostetics). then there is the robot with AI but AI is not utilised much elsewhere as are robots in general. there is only 1 robot that can do everything but not specialized robots for difficult jobs that in the show are still done by humans. This is getting long and I could go on if I thought a minute.
They are military but rules are only obeyed as long as they look cool. Not to mention that commanders do everything (then who does the commanding?), they are not superhumans who can do 3 people's work. Which military would allow a commander to go to the front lines and leave people under them to think for themselves?
Characters are pretty decent, I'd say definatelly get me invested in them, rooting for some and hating others. But there are moments where they are made out to be really dumb (but that's just bad writing). I would never say they are logically sound, for one thing they are placed in military hierarchy but don't care for it.
While I'm writing it, I do realize it has a lot of faults but somehow it's still enjoyable. Most of it's plusses are probably from the original and most of it's faults are probably due to lazy remake (either the 20 year difference was never thought of or the staff of the remake has no knowledge of technology or SciFy).