It may not be intended as such, but there are some cool ironic reversals of events in past incarnations. For example, we have Peter and Spidey "talking to each other" in a mirror, just like the scenes with Norman Osborn on the way to becoming Ax-Crazy in the first film.
Also, Nick Fury's whole approach to Spidey. In the comic, Fury is very threatening and sounds downright evil, telling him that because he's a minor he can't touch him yet, but when you turn 18, "you're mine." Diplomacy, not his strong suit. In this version, Spidey's first meeting with Nick Fury has Fury pointing out the damage his battle caused, and telling him that with SHIELD's help, he could become a better hero, capable of solving problems more efficiently without anyone getting hurt. Spidey voluntarily joins SHIELD by the end of the series premiere. (He rejected it at first, but then he finds out that the bug the Trapster planted on him earlier led the bad guys to his school. Comes Great Responsibility did the rest.)
In the comics, Fury practically treats Peter like a favorite nephew. That wasn't a "You're mine" conversation, that was Fury telling Peter that once Peter turned 18, he'd be eligible to join SHIELD and the Ultimates. Fury was very fond of him and, despite his actions elsewhere, honestly only wanted the best for Spider-Man. After all, he knew Peter's parents.
Harry being Venom makes sense when you look at how he was the Hobgoblin in the Ultimate comics. Both times are the result of an experiment, and both are a anti-reflection of another character, and Anti-Hero version his father in the comics and and Anti-Villain Spider-Man in the cartoon. It's essentially a way of getting the Hobgoblin storyline in without Norman having to be the Green Goblin yet.
It also works because Venom is the dark reflection of Spider-Man. What could be more dramatic than his dark reflection taking over his best friend?
While the Spider-Cycle doesn't really make a lot of sense, it is understandable why Peter likes it: he's 16 that's the age kids start to drive and become impressed by cool vehicles
Like how 616 Spidey briefly had a vehicle himself.
I just figured it was the show's version of the Spider-Mobile
And when it was introduced, They said it was a more efficient way to get around: Faster, and since it's SHIELD, no strained arms or using up expensive web fluid.
Why does Thor routinely defer to Coulson when he appears? Because this (sort of) shares continuity with the Marvel Cinematic Universe and Coulson is one of the few people that Thor knows, let alone trusts.
Remember in Iron Octopus when Norman said that Otto Octavius "perished in [his] arms"? In a very odd way, he was not lying-I mean, think about it. There isn't really anything to say that his personality wasn't altered at least partially due to the trauma of that accident...and then made worse by promptly being forced to shut himself away by the man he probably trusted a lot.
Despite all the complaints, Spidey fighting so many villains for other heroes' rouges galleries makes perfect sense: most of the Marvel universe is set in New York. How can a superhero who lives in NY (who web-swings, which is known to be a very speedy form of travel) not encounter so many other villains who run around causing trouble if it's all in the same city?
People have complained about things breaking Power Man's skin. But it's a case of Fridge Brilliance because his Exact Words was his skin was bulletproof, meaning something that strong enough can break through.
Will Friedle voices Deadpool in this series, using a tone of voice that sounds similar to how he voiced Ron Stoppable as opposed to who tends to be the go-to guy for voicing the character in most modern media, Nolan North. This choice makes sense when one considers that this version of Deadpool is implied to be significantly younger than he's usually depicted, with him having been a former member of the team prior to Spider-Man joining, as well as the most credible backstory for his origin being that he was a teenager who was found and trained by Nick Fury.
"Guardians of the Galaxy" had Nova being in general a lot more serious and humble than usual. Given that he nearly died in the episode and expressly told Peter when they were beaming away that this might be the last time they see each other, it explains a lot about his behavior. On Earth, he can goof off and brag because most of the stuff he confronts seem like small potatoes compared to the galactic threats he faces.
Keeps the weapons and glider, wears a costume that doesn't look copied from the Hulk, but physically transforms into a goblin. This isn't Ultimate Green Goblin. It's Spider-Man and His Amazing Friends Green Goblin.
Do libel laws simply not exist in this world? J Jonah Jameson routinely uses his media apparatus to engage in slander of pretty much anyone he wants, but especially Spider-Man. He's basically directly responsible for Flint Marko's rampage in "Return of Sandman". First Amendment aside, there are limits.
Libel is a civil thing—whoever the victim is needs to sue in a public court. Spider-Man isn't going to do that, and even if you are legitimately libeled, newspapers have legal teams, so pursuing a libel claim is going to be a long and expensive process no matter what you do.
In episode "Venomous" Spidey's teammates are all too willing to hurt, beat, kill and destroy Venom, despite the fact that there is a completely innocent person inside Venom and that he is possesed by symbiote and is not in control of his actions, and they know that but they don't care. Granted, Spidey tells them that the person inside Venom is Harry Osborn and they are trying to stop Venom and free Harry from symbiote's control, but consider this: before they found out about Harry being Venom they were willing to kill Venom and did not care a bit that they might have possible murdered completely innocent person, who was not in control of his actions and was controlled by the symbiote, and despite knowing this, they didn't care. And what would have happened if Spidey didn't intervene...
In-universe for the Asgardian hunters in "Run Pig Run" once they realize the pig they'd been hunting and planning on making into their holiday feast was a human. Also, Skurge mentions mounting the heads of "other talking pigs" and after about a minute, Spider Ham says "...others?". The implication that Loki's carried out this plan before (and succeeded) is laid on fairly thickly.
Maybe they just have talking pigs on Asgard.
THAT STILL ISN'T NICE!
"I am Spider Man" reveals Miles Morales exists in this show, so...
Yeah, because a Mythology Gag clearly means that the show is going to follow the exact same plotline of the comics, even though the whole premise of the show, that Spidey is part of a SHIELD team training alongside Iron Fist, Nova, Power Man, and White Tiger, didn't happen in the comics.
Also, Miles has cameoed in the 616 universe
This was already mentioned in WMG page, but deserves to be adressed here. In this show, Deadpool's third, and perhaps the most believable, origin reveals that he was once a weird, special kid (probably referring to his healing factor), who was treated horribly by other people. Nick Fury found him and trained him, by putting him through the same program that Spider-Man is currently working in and worked with Spidey's teammates before Spidey joined S.H.I.E.L.D. At some point, however, Deadpool decided that he should learn to laugh at pain and decided to hurt other people. But why exactly he became an amoral psycho? Well, these are the same teammates, who in the first season, when Spidey joined S.H.I.E.L.D, mocked Spidey, insulted him, pulled mean pranks on him, attempted to beat him up because he accidentally gave them cold, inserted themselves into his life, disrespected him and tried to make Peter trust them, even though he actually doesn't know anything about them. Fury also treated Spidey unsympathetically by putting security cameras in his house, showing most embarrassing things of Spider-Man's recording to the whole team, even after Spidey allowed Fury to put up at some cameras in his territory and generally treated Spidey, and his teammates to an extent, as snot-nosed brats. Coulson is no better either: in Captain America's debut episode he didn't want Spidey's team to train with Captain America, just because Coulson is a massive fanboy of Cap and wanted Cap to be with him and not with Spidey's team and in Deadpool's debut episode sent battle robots after Spidey, simply because he was late for training. It is very possible that Deadpool was treated in similar way by Fury, Coulson and MAYBE his teammates. Furthermore, Deadpool was already treated horribly by other people before he joined S.H.I.E.L.D and was heavily implied to be an orphan. Having a horrible past, no family, being abused and treated unfairly by his Jerk Ass teammates and superiors probably made Deadpool snap and he turned into psychopathic mercenary he is now.
His team-mates may see spiderman as some replacement for Deadpool. You must admit there are some similarity to the for the team to see this as some bad Replacement Goldfish. One could further argue that some may subconsciously blame Peter since it would seem Fury gave up on Deadpool and just took Spiderman as the new man on the team.
It might even be meta-commentary about Spetacular Spiderman being replaced by Ultimate Spiderman, which considering Deadpool, is more than expected.
I think that's a bit of an exaggeration of the team's behavior. They're just behaving like any spoiled teenager would. They do care for Peter for the most part as shown in the first season finale and a majority of season two. They even got along just fine with Deadpool. It's part of the shows sense of humor to have the characters pick on each other for laughs, it's best not to over-think their "jerkassness".
Before taking the animated brick that revealed to be a mindless creature that eats and grows, Spider-Man checked on two other things and dismissed them. One was "too small", and the other was "too bright". The first one was the Ultimate Nullifier, which can destroy the universe. And the other is the Cosmic Cube, which can make any random wish become true. The chance that Spider-Man was just a random impulse away from manipulating such forces is really scary.