Yeah, but he *did* get reflexes, sticky hands/feet, strength, agility, "spider sense", etc so why stop there?
Eight eye/legs/etc would fall into the "turning into an actual spider" thing, which would be 'aw, hell no', but I don't see a reason to not have natural webs that are more concealed than webshooters on each wrist with lights on them to draw attention and make people wonder what they are and "hey, are you Spider-Man" speculations not to mention technology that anyone can get their hands on and *be* a spider-man.
I've also just recently re-watched the Toby Trilogy and a few things aside they are great. I think if the new guy, who looks age-appropriate, did the Toby Trilogy it would have looked better but overall the TT is pretty great... and I hate James Franco so much.