He isn't actually amazing in this movie
The Amazing Spider-Man 2 is the sequel to The Amazing Spider-Man which involves Peter Parker getting spider-like powers and clinging on to the fact that "With great power comes great responsibility." Well, except for the fact that Peter actually has several powers, so it should be "With great powers come great responsibilities".
I was a big fan of Spider-Man growing up and enjoyed the first Spider-Man trilogy which I reckon was among the first good comic book superhero movies. The plots were solid (except for the third movie where the only good thing was the presence of Venom although it was played by an idiot). For reasons known only to movie executives and because movie reboots are now an integral part of box office success, a new trilogy was created after the failure of the third movie to gross more than 20 billion dollars.
I won't go into the first The Amazing Spider-Man as I don't remember anything about it. The fact that I don't remember anything from the movie says a lot about it. As an example, I watched The Raid: Redemption around the same time and I remember EVERYTHING about this amazing movie (and you should go and watch it too - forget about reading this review but make sure to come back later to finish it). The Amazing Spider-Man 2 pits Peter Parker against Electro, a villain with the power to use electricity after an accident involving eels. Yes, the theory sounds 100% plausible and works within the movie. However, Electro is a very forgettable villain in spite of what should be amazing super powers and will surely go down as one of the worst movie villains ever. I don't know if it's something directly related to the comic books or if they simply did not know how to handle the character in movie format.
Compared to the first trilogy's Green Goblin (amazingly portrayed by Willem Dafoe), Electro feels like a baby who could not cope with the "great responsibilities that come with great powers." This is made worse by the badly written plot and the crap acting throughout the movie. Jamie Foxx is usually a superb actor and someone I enjoy watching in movies, but it seems talent quickly disappears as soon as you are hired to feature in a bad movie. As far as the plot goes, the writers tried to do too much in only one movie which is evident not only by its runtime but also by the fact that you stop caring about what happens to Spiderman halfway through the movie. Every scene beyond the one-hour mark becomes tiring which is very ironic as that's when the special effects, fight scenes, and Spiderman's cheesy puns kick in (spoiler: they are not that funny).
The basic line about The Amazing Spider-Man 2 is this: Do you have time to waste and shit taste in movies? If yes, it is definitely the movie you should watch next!