There are many similarities and many differences between that series and this one. Like the original series, this one covers many different topics in science, focusing on Astronomy but covering chemistry, physics, biology, and more. Each episode deals with a different topic and usually tells the story of one or more scientists that contributed to the field being discussed. The series did not focus on just the "big" names like Newton and Einstein but discussed other scientists and mathematicians like Halley, Hooke, Keppler, etc. In the original series, the stories of the historical figures were told using human actors, but in this series, many of the stories were told using animation and voice actors. I was not a fan of the animations when I first watched the show, but upon a subsequent viewing, they did not really bother me. And, of course, the CGI graphics are orders of magnitude better than what could be accomplished in the original series.
For those who get the Blu-Ray, the A/V quality is fantastic. The visuals are fantastic (both the real and the CGI), and the sound is very good. The extras include an audio commentary on the first episode with Druyan, producer Mitchell Cannold, producer/director Brannon Braga, producer Jason Clark, and animation producer Kara Vallow, a 40-minute comic-con panel discussion, a 41-minute making-of documentary, a 35-minute portion of a dedication to Sagan at the Library of Congress, and interactive cosmic calendar.
Like Sagan before, Tyson can explain complicated topics in simple terms without sounding like he is talking down to the audience. Of course, the audience for this series was much larger than that of the original series airing on Fox versus PBS. Even though the series aired at a time when science was being caught in the middle of the idiotic political divide, the country has been marred in, for the most the show ignored all that and just presented the scientific fact and ignored science deniers. The one exception is the episode on climate change, which distilled the problem and the cause to very simplistic terms without hyperbole and included a clip of an interview from back in the 1960s in which an old guy who is certainly not a part of a "woke" mob and proving that scientists knew that the amount of greenhouse gasses being pumped into the atmosphere back then was a problem. Although, the dipshit politicians and their sheep, if they bothered to watch something educational, would probably accuse the guy of being part of some liberal cabal. And there were clips from the original Cosmos series in which Sagan described the concerns and what the possible consequences could be (and then showed how many of those consequences have started coming to pass).
One thing I wish the show would have done a bit better is explain the scale of the cosmic calendar (e.g., that 1 month corresponded to approximately 1.2 billion years, 1 day corresponded to approximately 40 million years, and 1 second corresponded to approximately 440 years) so that when Tyson said that something took place at midnight on December 31st, people did not actually think he meant something happened midnight on some random December 31st, but instead meant about 3600 - 4000 years ago. Probably the best moment of the series is when they did a CGI zoom out starting on Earth through the solar system to the galaxy level to the famous "pale blue dot" narrative by Carl Sagan. Overall, the series is wonderful and definitely in my must-watch category.