The site, TheAmazingSpiderMan.com, launched Thursday, a Sony representative told TheWrap.
At least one sequel -- due May 2, 2014 -- is already planned.
The new site refers to "a series of movies that tells a different side of the Peter Parker story," which means additional sequels could be coming down the road.
Unlike in Sam Raimi's previous series, the wall-crawler will be investigated by police for "vigilantism." In one of the photos featured on the site, a wanted poster of Spider-Man can be seen on the ground. Another pic shows girlfriend Gwen Stacy (played by Emma Stone) wiping blood off Parker's chest.
Pursuing Spider-Man will be Captain Stacy (played by Denis Leary), an NYPD officer who is also the father of Parker girlfriend Gwen Stacy.
Also in the new movie, Parker "uncovers a secret that his father [played by Campbell Scott] held," according to the site. His parents vanished 13 years prior to the film's present day.
The site also reveals that the character played by Irrfan Khan has a new identity. Previously said to be playing Van Atter -- who transforms into Proto-Goblin in the comic book series -- Khan's character is now named "Dr. Ratha."
Proto-Goblin would have been the movie's second villain, along with the Lizard (played by Rhys Ifans).
"The Amazing Spider-Man," which has not yet been rated, will be released July 3.
IMAX and Sony will release a digitally remastered version of the movie in IMAX 3D.
The three Spider-Man movies that starred Maguire grossed nearly $2.5 billion at the worldwide box office.