These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Broken Base: The 2014 series has been accused of going out of its way to attack religion, particularly the first episode's lengthy tangent on the life of Giordano Bruno. Tyson has responded that he has no problem with religion itself, only its practitioners who are too narrow-minded to consider the validity of science.
This is helped a bit by the show also demonstrating how scientists themselves have done some pretty bad things, like denying the existence of lead poisoning.
There are those who believe the show should be much, much more stringent about science, and those who think it should stay the way it is, usually as part of a debate on appealing to the masses.
Alan Silvestri's music for the new version isn't anything to sneeze at either (the producers initially approached him to only write the theme music, but Silvestri was so impressed with the first episode that he signed to score the entire series). The Emmys certainly agreed, as Silvestri won for his theme music and his score for the first episode (it should be noted that this was his first ever nomination).
Nightmare Fuel: The description of nuclear war. Granted, it was Sagan's informing people of this horror that helped to save the world from this fate, but...
The sequence in "Heaven and Hell" depicting the environmental destruction of the Earth.
The "alien abduction" sequence at the beginning of "Encyclopaedia Galactica". Yes, it's debunked immediately afterwards, but only after scaring you quite badly!
The Hall of Extinction from the reboot, which features sections devoted to the five previous extinction events, plus a blank corridor for whatever's going to wipe us out. (Fun fact, we built that corridor; if we end up on exhibit there, it's our own fault.) We also see a full demonstration of the Permian-Triassic Event, the worst of them all, which it's speculated the Earth took up to ten million years to recover from.
In "Hiding in the Light", the scene where Chinese scholars are being dragged to a giant pit to be buried alive.
Clair Patterson's visions of lead poisoning, manifesting as open wounds/infestations on everyone & everything around him, including a dog. Also counts as Nausea Fuel. A bit earlier, the Laughing Mad gas station employee running down the street.
Episode 11 starts the nightmare fuel with a depiction of really, really pissed-off gods that the ancients thought caused a decades-long drought, and it keeps going and going to all the things that can and have killed civilizations: asteroids and supervolcanoes, germs spreading across North and South America to kill 90% of the population, war and more war, and the things we're doing now in pollution and climate change which we could do more about and yet aren't.
Science Marches On: Interestingly, although many of the details are no longer accurate, remarkably few of the theories and principles Sagan discusses have been completely supplanted by more current research. The DVD commentary discusses this, and Ann Druyan, in her introduction to the first episode, states that, 20 years after the fact, at least, the series needed little revision. That said, when the series was rebroadcast by PBS in the early 1990s each episode ended with newly recorded comments by Sagan discussing any points either proven wrong or new discoveries related to the episode since it first aired.
Some Anvils Need to Be Dropped: Sagan spares no expense in stressing the importance of promoting science and knowledge of the world, as well as raising awareness of the dangers of irrationality. The reboot is not shy about describing the need for scientific discover to be free of the shackles of government and religion.
While talking about the hunting of whales, Sagan refers to the practice as "whale murder"
The first half of the last episode is basically "why nuclear weapons are a BAD IDEA"
Neil spends a good bit of the second episode explaining evolution stating it as a fact and not "something that's going to go away."
In the episode "A Sky Full of Ghosts," Neil very matter-of-factly explains that due to our advanced ability to perceive how light travels through time and space, there's no way that the Earth can be only 6,000 or 7,000 years old, despite beliefs to the contrary. He goes on to stress that to believe otherwise is to discount most of the light from our galaxy, not to mention the rest of the cosmos.
Similarly, the fourth episode "Hiding in the Light" makes it clear the science should and cannot be shackled under any type of control for it to progress forward.
"How many minds have we left in the rubble?"
Episode 9 of the reboot has Tyson give an impassioned plea for the use of sustainable and clean solar power instead of fossil fuels, pointing out that our reckless usage of them is setting the Earth's climate on track to a state it was in during the time of the dinosaurs, which would be catastrophic and probably result in a mass extinction, and Tyson questions just why nobody is willing to use the unlimited and free energy supplied by the Sun.
Episode 11 shows us all the ways civilizations have died in the past and could die in the future before Neil suggests that our intelligence can and should be used as a survival mechanism, so that our next "Golden Age" could start on January 1st of the new cosmic calendar. It's not so far-fetched to imagine a Star Trek-like utopia... if we choose to follow that path rather than short-term greed, hatred, and fear.
Episode 12, "The World Set Free", could almost be called "Yes, FOX Viewers, Climate Change is Real."
The season finale, "Unafraid Of The Dark" reminds viewers that Science Marches On and established beliefs we have today maybe disproved in the future. To question established beliefs and to use solid evidence and facts rather than believing what makes you comfortable, is one of the hallmarks of science and progress.
The episode devoted to Kepler and Tycho Brahe. "Who Speaks for Earth" qualifies as well, especially the segments where he talks about how humanity has so much potential for advancement and knowledge, yet all too often listens to paranoia or short-sighted greed.
Tyson's monologue at the end of the premiere episode of the 2014 series. Anyone who was inspired by a mentor will get teary eyed when he talks about how he knew he wanted to be a scientist, but that day Sagan showed him the kind of person he wanted to be.
He expounds upon that memory in "A Sky Full of Ghosts," where he likens Sagan to one of those very ghosts in the sky, a star whose light still shines long after it's gone.
Tyson's monologue at the end of episode 10, "The Electric Boy" about how the discoveries of Michael Faraday helped transform humanity from a patchwork of scattered, isolated towns, villages, and cities into the globally connected society we are today and how those same forces connect us to the cosmos itself.
Visual Effects of Awesome: In the Neil deGrasse Tyson version, some of the effects of both the starship and the imagery on offer is absolutely gorgeous.
What an Idiot: It was a dramatization, but really, Humphrey Davy—you remark on how a colleague lost an eye to nitrogen trichloride and then practically stick your own face in the stuff when you're about to start the reaction?