First thing I did: Costumes cheat. I like playing with different costumes, particularly with Ben's Scarlet Spider costume, and this time around you can take away the perks or handicaps, so I can finally use the Spider-man 2099 costume(Since I mean to play as legit as possible). Also, I liked how they redid a few scenes from the first game but with newer and better character models.
The first level was a retread from Spider-man 1's albeit during the afternoon, and it felt... tighter? It's hard to explain why, but I think they were more mindful of how Spidey moved and his jumping worked when designing distances and what not between buildings. Suffice to say, it felt better.
As for the second level, at first I thought it was kinda crappy how much it had you going around in circles trying to trigger the next 'event', but... I think it was done on purpose. There were few, if any, stages as open as this one in the first game, and it let you play around with Spider-man's movement. You are free to go around, getting used to swinging and swing-cancelling at your leisure, so even if it wasn't made on purpose... it works great.
It's too early for a better assessment, but the game's shaping up to be either more of the same or more but a little better, and I'm leaning towards the latter.