It's a moot question, because Peter Parker without the Spider-Bite would be an entirely different character.
As a thought experiment...
-- Uncle Ben still gets shot. That burglar robbed the studio for cash not to specifically target Spider-Man, so that happens regardless.
The point of Ben's death is that it's Peter's fault because he didn't use his powers. Being Spider-Man gave him the one chance of saving him and he blew it. Obviously Uncle Ben's death would be devastating to Peter but he wouldn't really have the guilt of failing to intervene directly, but he'd still have trauma and feelings of helplessness and so on, and the issues of taking care of Aunt May.
-- Mary Jane was next door the night Ben died, but since she saw Peter become Spider-Man, she reacted with shock and kept distance from Peter for years after that per Busiek and others. Without the Spider-Bite, Aunt May spent the night Ben died at Anna Watson's house in the aftermath just like OTL, it's likely Peter and MJ meet there for the first time. And MJ and Peter become friends owing to the trauma he experienced. And since Mary Jane drops her guard to Peter and Aunt May owing to their real grief, it's likely she opens up to Peter right away without all the defenses both put up over the years.
-- Peter still goes to college on scholarship and meets Harry Osborn and Gwen and Flash. Would Peter have the growth spurt and grow handsome without powers, probably not. But since Norman becomes Goblin regardless, Peter might get entangled with Norman either directly or peripherally. Most likely Peter's science smarts leads to an internship at Oscorp, and Norman either press-gangs him into becoming a test subject, forces him to become a henchman, or kill him in one of his mood-swings.
-- With Gwen, obviously with and without Spider-Man, Miles Warren would still be Miles Warren. Without Gwen's death, he might not become Jackal but best believe he'd try and Weinstein/Cosby his way with Gwen. Her father would still be endangered and liable to die from any supervillain rampage.