I'm really hoping they get it right this time.
The first two Raimi movies were good for the time, but (at least for me, and I know I'm in the minority here) I don't think they've aged well. And of course, Spider-Man 3 was crap. Which was why I (again, in the minority) was looking forward to the reboot when it was originally announced.
I actually liked Amazing Spider-Man for the most part. It had it's problems - the Lizard copying Dafoe's shtick from the original being one, the cheesy construction worker scene at the end being another - but I thought Garfield was a good Peter Parker and they had something to build on with the sequel.
They failed miserably, making a movie to rival Michael Bay's Transformers in crapitude, and only marginally more tolerable to watch than Spider-Man 3.
So I'm hoping, with Marvel's guidance, that they can finally do the character justice. And I hope he doesn't feel too shoehorned in when he shows up his first Marvel appearance.
Side note: I'm also hoping that they call the new movie Spectacular Spider-Man, and proceed to copy everything from the cartoon, which, in my opinion, is still the best interpretation of Spidey to date.