I just liked how it portrayed high school soooooooo much better than the original. Lets be real, I didn't once get the impression that Peter, Harry, and Mary Jane were seniors in high school and then freshman in college.
Yeah, the skating was cheesy, but I still think Peter had a better personality. And I don't think Curt Connors is done, I'm pretty sure he will be returning in the third or fourth movie.
All in all, I was happy that the first was a set up, and didn't have a finished feel. From start to end I felt as if things were just getting started, and based off the new trailer and speculations, I think Sony did a great job of continuing the story without it feeling awkward.