Spider-Man has the Sinister Six, Venom, maybe even Kraven, Morbius? It has villains that can work but look at Batman, instead of rehashing an origin story after Nolan they are making him an established hero already in the Superman vs. Batman sequel.
Another thing is going to the well with another love interest in peril again.
I'm not tired after almost 9 movies of Avengers, a full season of Shield, various Marvel One-Shots because it's variety.
But I think Spidey is handcuffed, contracts have been signed and story lines established.