Wizards frequently use Apparition. It's a stark contrast with the Harry Potter films and books where the majority of the protagonists were students and thus not experienced enough to use it liberally.
Scamander makes very good use of his Swooping Evil to escape MACUSA with Tina. Also to confront Graves as well at the end. It just goes to show that he may be average with a wand, but his command over the fantastic beasts borders on Wrong Context Magic for wizards unprepared for them. Because of this, he manages to restrain Gellert Grindelwald in the climax.
Highlights of the MACUSA breakout: the Swooping Evil uses itself as a stepping stone to help Tina escape from liquid that would have dissolved her on contact, and attacks a MACUSA officer standing in their way. Extra points for Newt - the Swooping Evil is about to eat the brains of the official, but all Newt has to do is tell it to stop and it immediately listens.
The fact that Newt gives absolutely no fucks as to someone's blood status; if he likes you, you're his friend.
One for Britain - doesn't matter whether you're Pure, half, muggle or Muggleborn. You can marry whoever the hell you like, unlike America. Sure, people may disapprove of mixed marriages in Britain, but they have not made it illegal like America has by the time of the film.note Granted, the British wizards haven't spent the last three centuries facing dedicated efforts towards exposure and genocide by the Scourers, unlike the Americans, and so seem unable to understand that Rappaport's law exists as a survival mechanism for wizards rather than a racist act of spite. It was also rewoked in the 1960ies.
On the flipside, America gets one too for having none of the toxic blood-purity culture that tore wizarding Britain in two and drove the Death Eaters' horrific crimes. While marrying actual muggles is illegal, intermarriage with Muggle-borns is perfectly acceptable. This is especially awesome considering how 1920s America saw a truly nasty increase in racism against all sorts of minorities (especially Italians), including the resurgence of the KKK.
Jacob discovers the inside of Scamander's suitcase, which contains a genuine zoo with a wide range of rare magical creatures from the most colorful to the most imposing and majestic.
Scamander has a freaking Nundu in his suitcase-zoo, which he had apparently managed to tame to some extent. According to the textbook he wrote, it takes the cooperation of at least a hundred wizards to subdue one.
Said Nundu is promptly outsmarted by a family of Diricawls—it snaps at them and they immediately teleport out of its reach.
Jacob punching feared gang leader and goblin Gnarlack in the face after he sold them out to MACUSA.
Tina holding her own against Graves for a while in a short duel. You see the skills, at least for a moment, that led MACUSA to employ her as an Auror in the first place. Tenfold in hindsight as 'Graves' turned out to be Grindelwald himself in his prime. A platoon of aurors proves to be no match for him at the climax. Dumbledore described Grindelwald as being very nearly on par with him.
One for Graves himself. Despite the feats of power he displays, in this fight and the film in general, we never hear him utter a single word. It's impressive to see a character casually pulling off tricks the Harry Potter cast would have found daunting during their time as teenagers—and sometimes even without his wand!
Queenie senses that her sister is in trouble and, with Jacob, manages to break into Graves' office, steal back Newt's case and his and Tina's wands, and manages to use the old "woman problems" excuse to absolute perfection. Tina is an Auror, Queenie is not. Apparently just being badass runs in this family...
It's outright shown that Queenie has the skill to be an Auror, she probably just doesn't want to be bothered with all the rules.
The way Queenie and Jacob get into Graves' office deserves a mention. After Queenie's attempts at unlocking Graves' office door with magic fails, Jacob kicks down the door in.And it works. This may be the first time we've seen the muggle— sorry, the no-maj way trump magic on-screen.
Queenie decides "fuck the law" and falls hard for Jacob. It's implied by the ending that they get together in the end!
The Obscurial's identity: Obscurials are always destroyed by their own twisted power before their tenth birthday. Credence is twenty one. Newt is flabbergasted by how he must be powerful to live so long, and Graves outright calls him a true miracle.
After attempts at Talking the Monster to Death fail, the Obscurus is finally killed when an entire platoon of Aurors unleash a fifteen second blizzard of spellfire that obliterates it.
Obscurials are violent, destructive, and unstoppable by anything other than an entire platoon of skilled wizards firing spells at it. Newt and Tina nearly manage to calm Credence!Obscurus down if they didn't burst in and start firing immediately.
Newt capturing Graves/Grindelwald rather easily after the latter looked ready to sweep an entire room full of MACUSA Aurors and officials.
Also counts as an Awesome Moment for the Swooping Evil. Taking out the likes of Grindelwald in one move surely rates it a five-X MOM classification: something usually seen only for Beasts the size of a bus.
Also given the timeframe it is entirely possibly that because of this Newt has unknowingly become the master of the Elder Wand.
The three way fight between Newt/Tina, Graves (aka Grindelwald), and Obscurus!Credence. Between Graves casting magic on him and Credence causing massive damage to the subway tunnel, Newt seems to handle himself fairly well.
Graves fending off the MACUSA Aurors single-handedly before Scamander stops him. Just try to keep up with his wand movements.
The release of Frank the Thunderbird to help wipe the memories of everyone in New York of all the magical chaos that has happened over the past few days.
Hell, the fact that, according to J.K. Rowling, Frank did indeed make it back to Arizona! Newt may not have delivered him personally to Arizona, but he got him damn well close enough for Frank to make it the rest of the way.
The rebuilding of New York City by MACUSA wizards following what the fight between the Obscurus, Grindelwald and Tina/Newt did to it was a sight to behold, especially that one scene where a MACUSA wizard is casually strolling across the steel beams that make up the unfinished skyscraper, putting it back together. For someone who was raised in New York City, that was a The World Is Just Awesome moment.
Graves' transformation into Grindelwald (done very well visually, and the accompanying music is so fitting), and the subsequent portrayal of Real!Grindelwald. With two lines and less than a minute of screentime Johnny Depp manages to exude a sinisterness that at least matches, if not surpasses, Voldemort's.
Jacob's bakery is a smashing success; he has a line out the door. At the start of the film, the banker refused him a loan partly because the banker didn't think a bakery would be a success at all since machines can make more pastries per hour. Jacob's personal touch is superior.
The fact that J. K. Rowling herself is writing the screenplay for at least the first film.
For citizens of New York City, and fans of history, it was absolutely awesome to get to see the City Hall IRT Station in all its glory as the centerpiece for the climax, complete with a perfectly reconstructed version of the street exit. Having the tearful parting with Jacob take place in the latter was quite fitting.
This is the first movie connected to the Harry Potter franchise to win an Academy Award. The Oscar was for Best Costume Design and is also a Heartwarming Moment and a Throw the Dog a Bone since the original movie series didn't win one despite being nominated for twelve!