I thought this could be a fun and interesting discussion. The Amazing Spider-Man is basically an unofficial part of the Marvel Cinematic Universe, since Sony and Marvel Studios originally intended for OsCorp Tower to appear in The Avengers. Unfortunately, the New York City skyline had already been rendered by the time the OsCorp Tower was fully constructed.
The point is, as far as Sony and Marvel Studios is concerned The Amazing Spider-Man has a place in the MCU. For fun, why not come up with ways the film could tie in with the universe? The technology OsCorp had was very similar to Tony Stark's, and perhaps after the events of The Avengers people are weary of superheroes (remember, at the end of The Avengers people were afraid of them) and that's why Spider-Man is considered a vigilante.
Also, just to add, Rhys Ifans name appears on a bus in Thor: The Dark World apparently.
The point is, as far as Sony and Marvel Studios is concerned The Amazing Spider-Man has a place in the MCU. For fun, why not come up with ways the film could tie in with the universe? The technology OsCorp had was very similar to Tony Stark's, and perhaps after the events of The Avengers people are weary of superheroes (remember, at the end of The Avengers people were afraid of them) and that's why Spider-Man is considered a vigilante.
Also, just to add, Rhys Ifans name appears on a bus in Thor: The Dark World apparently.