Positive thoughts?
1) No Cheeze. HELL, I'll even settle for minimal cheese after the Raimi CheeseFEST.
2) Serious storylines. Raimi's had it to a degree, but they felt like it was still too G rated or "Disneyfied". Uncle Ben's death felt like something shot out of the late 60's to me. And as such, lacked impact.
3) Storylines and characters that stay truer to the comics. *BIG POSITIVE THOUGHT HERE* From Gwen being JUST GWEN, not a conglomorate of Gwen and MJ (or GWEMJ). Storylines, where Spidey is the primary comic relief and not some made up character Hoffman or some stupid singing Street performer. To the MOST important ONE... NOT.. ALL about ONE Girl.
4) Villains costumes. Just MAKE em BETTER. Period. Yes, the Goblin costume from the comics would not "cross over" to the big screen well, but that montrosity of an "adaption" we got was just a joke. And then we got Surfer Dood as their second chance at it???? WTF????
5) Casting/Characters/Storylines that involve more of the rich tradition of the comics history. Raimi's felt closed in, centering around Peter+MJ+Harry. The reboot already looks better with the introduction of Capt Stacy, and the selection of Martin Sheen to play Uncle Ben. Man I hope (if it is still possible) or wish (if not) that Sally Fields was playing Aunt May. USE this rich cast as more than simply cameos. DO NOT make the reboot feel as closed in as Raimi's felt by the end. The casting so far has been fantastic!
6) Tell Spidey's greatest arc. The night Gwen Stacy Died. It looks good with what we have seen in the reboot as it appears they are following more along these lines in what looks like will happen to Capt Stacy. That should be GREATNESS if handled right. THEY HAD BETTER have Gwen blaming her father's death on Spider-Man. Great storyline! It looks like that will come to be.
7) Have Aunt May not trust Spider-Man. NOT be his biggest fan. It adds to potential storylines down the line if they choose, and adds another burden to Peter facing his Great Responsibility that comes with his Great Power.
8) Take your time introducing JJ. DO NOT make him a caricature. Flesh out his character and DO NOT make him completely one dimensional. It takes away from his storyline and his impact of the overall series.
9) Appears they are not immediately introducing MJ. Saving her for down the line. Looks good, and hopefully they will follow the ASM storyline/approach.
10) More pratical uses of Stunts with CGI. Looks good, but the end result will be the measure. Costume looks more realistic of what a teen might be able to do in real life, while still keeping the overall aspect of the best comic hero costume in the business.
Overall. Very positive thoughts so far!