The new Amazing Spider-Man is a great game, taking place after the film but weirdly coming out before it, I strongly suggest you watch the film first, many spoilers! This game is very much like Spider-Man 2, which is a good thing! Even the music has been taken from the Treyarch series of Spider-Man! But the game has improved on things, mainly adding in little extras that look good on the eye and gameplay tweaks.
The combat system has been completely changed, and works well, but play on Super-Hero difficulty for a challenge. However the combat in Arkham City is a lot better! The free roaming is far better in this game though, and on completion you can pick what time of day/ weather you want to roam about in! But what I most like about this game is how it plays true to the comics, the boss battles are great, oscorp plays a major part, Peter's apartment is used frequently, photo missions, car chases, stealth, great webbing techniques like webbing foes to the wall and webbing cars into giant webs on the side of buildings! Also more suits are easily obtained, like the original Spider-Man film series red and black suits, and comic book pages are scattered across the huge city, 700 to be exact, they unlock real Amazing Spider-Man comic books to read!
So therefore I recommend this game, if you're looking for a game as stellar as Arkham City, well it's not! But this is the closest a Spider-Man game has have ever come to being that great!