I enjoyed it a lot. I liked how the story was relatively true to the origins we know, yet spun them in a way that didn't make the film a complete rehash of the Raimi film (even though certain parts inevitably felt similar due to the source material)
I know many reviews criticized the character development (for some reason), but those were the parts (aside from the awesome fight scenes) that drew me into the story the most. There was actual chemistry between Gwen and Pete... Peter's stupidly heroic act in the beginning that sparked Gwen's interest, their high-schoolesque awkward flirting... All of that felt much more believable than the Pete/MJ relationship in Raimi's film.
That being said, I loved what the filmmakers did with and how Garfield portrayed Peter/Spidey. His personality felt more true to the comics (more like the Ultimates version) and Peter himself felt more like a person who would choose to become a hero (awkward but brave and willing to sacrifice himself). I'm sure there will be constant debates as to who's the better Spidey for a long time coming.
And suited up? This is exactly how I've imagined Spider-Man moving. Quick and graceful, using his agility to make up for his lack of strength (although the WTF breaking of everything scenes right after he was bitten were hilarious). And honestly, the suit was pretty decent on screen. I'm SO glad there was the 15 second web search of purchasing costume materials. :thumbsup That's one of the only things I was praying for in the movie.
The Lizard design still doesn't work for me... Still looked too much like a goomba, and the close up shots made the CGI less than believable. They should have opted for just a LITTLE bit of snout to cover up the less than stellar facial animation... :cry
I could go on, but other people have covered pretty much everything. I know people are going to be "Ugh, another origin story" but origin stories are constantly reworked in the comics. Just think of Amazing as a revisioning like that.