Not sure I would call it Nolanizing, but in the spirit of the thread:
- More realism. For example, Peter basically has his arms ripped out of their sockets trying to stop a runaway train in SM2 and we see zero after effects.
- Peter battles superpowered villains, blow for blow, and we do not see any bruising/cuts/etc. on his face
- Less Cheeze. Take out scenes that are basically childish. For example "Film's Exxxxxtra" at such a key point as the final battle in SM3.
- Less soap-operish. The ALL about ONE girl BS needs to go. And Peter and MJ have a co-dependent relationship as described by Raimi, that ANYONE would tell them their NO GOOD for each other.. PERIOD.
- Less sympathetic villains - not realistic and takes away from the storylines/impact of the villain that should be sympathetic (Lizard)
- Do Not connect EVERY villain to Peter. Again, takes away from the storylines/villains that SHOULD be connected to Peter.
- Tell Spider-Man's greatest Arc - The Night Gwen Stacy Died.
- Do not corrupt great storylines from Spider-Man history by MAKING IT (mostly) ALL ABOUT ONE GIRL (Spidey No More. EVERYTHING does NOT need to center around MJ, and SHOULD NOT.
- Serious villains/costumes. Some things, like the Goblin from ASM would not move from the comic to the screen well, but.. what we got was a joke. And then, when they got a chance to redeem with the Goblin 2 (Harry), we got Surfer Doood. I can see TPTB saying.. Dood.. a skateboard that flies.. COWABUNNGA DOOOD.. Major Toy sales to Da Kiddos.
- Serious Writing - "We'll Meet AGAIN Spider-Man"... "Deliver.. us from.. EVILLLLLLLLL" "and any image of Uncle Ben in Speedos.. Sheesh

:
- Serious motivations for a villain
- Gothic/Dark/Costume for the GOBLIN (Yes, basically listed twice BUT Damn Did I want that..)
- Funny lines via smart writing.. Not slapstick humor or slapstick cameos. Basically, make up your mind your doing a serious take on Spdier-Man and NOT a tongue in cheek one. No Dancing/Stuttin Emo Parker. Make Parker actually Dark when the symbiote infests him.
- No Cutsey Kids (related to the Damn Director or Producer or Staff or WHOEVER).. to deliver eye rolling/cringe worthy Lines.. ESPECIALLY at critical times of the film
- NO FRICKIN announcers.. telecasting final battles.. "This Could be the End for Spider-Man"... SHEESSSHHH
- Develop the rich supporting cast that Spider-Man has, as opposed to creating new characters, or changing the existing characters completely
- Stay true to characrters..
and ON.. And On... And On.....