Release years have already been announced for the third and fourth. The Amazing Spider-Man 3 will hit in 2016 with The Amazing Spider-Man 4 hitting in 2018. During an interview with Yahoo! Movies, Garfield had this to say:
"I mean I’m under contract for another one after this… as far as a forth one? That’s not anything to do with me."
This could mean a couple things. First off, by the time 2018 rolls around Garfield will be 35. That's a bit old for a teenage hero if you ask me. Tobey Maguire wasn't even that old when Spider-Man 3 came out in 2007. Second off, I imagine Garfield doesn't want to just be known for playing Spider-Man. Granted he got pretty famous for The Social Network, but what has he done since? Well, other than play Spider-Man. The answer is nothing notable. This doesn't surprise me one bit. I wouldn't even stick around through the third one, but that's just me. I don't even think Garfield is a good Spider-Man.