Modern movietrailer style orchestra-hits adaptation of the classic theme ong... not sue if want. On the one hand, nothing says Spidey like "dadaDA, DAdada, dadaDAdada DAdada," on the other hand it's a huge stylistic change.
As for the actual contents of the trailer...
Why the hell is Fake Fury still sneaking up on people like Batman into a Rogue lair? That shit was shady in Iron Man, let alone a dozen movies later. Everyone in the world and on several others knows about the Avengers - Iron Man's image being everywhere is one of the plot points the trailer specifically calls out - so there's no need to sneak up on people like that. If you can find some kid's hotel room in Paris and lock down the area to make a spooky visit you can damn well find the phone number and call.
And, no, no dumbass who lost his eye to a cat gets to replace Nick Fury. I don't care that he's black (I thought Samuel L. Jackson was a great choice for the role from the beginning even without knowing about the Ultimates comics aside from being a reboot unlikely to last a decade) the real Nick Fury is a WWII veteran not-quite-super soldier turned spy to keep the peace he won through the Cold War, not a comic relief sidekick. It's just one of the ways the Captain Marvel movie spiked the wheels on the entire MCU.
I still like the Iron Spider and Ben Reilly era suit designs as much as the classic red & blue, and far more than theblacked-out tacticool gear near the end, so the progression of his look as shown is a definite downgrade as it goes on. I suppose they're setting up for the Venom storyline later by making a black suit, but still. At least his acrobatics are properly amazing, though outrunning a fireball is a little incredible. Common action-movie fare, though, so I don't object to that strand in the web of Spider-Man.
I'm a little stumped for an adjective to put on it overall...
But look out! Here comes the Spider-Man!