I notice in some of the early Spider-Man stories, Peter would always compare his situation to "other superheroes". Given that that early on the only other superheroes were the Fantastic Four, a team which didn't have secret identities anyway, he might have been refering to comic book heroes like Superman. Where I live we have the Spider-Man newspaper strip and they have made several references to Superman. All of them direct. I also have a Wolverine story that makes a reference to George Reeves!
There's an incident in
Amazing Spider-Man #306, where Peter and Mary-Jane are hurrying to a book-signing event. Peter accidentally bumps into a student on his way to sell his comic collection at a local convention. Gathering up the spilled comic books, Peter notes to Mary-Jane that he used to read comics as a kid and once had a "crush" on the heroine featured on one cover. Later at his book signing, Mary-Jane surprises Peter with the same comic book, commenting that she bought it for him to show that she wasn't envious of the "other girl" in his life.
That comic book was
Action Comics #285, where Superman first introduces Supergirl to the world.
He much have been reading reprints or old collections, since
Action Comics #285 was published in February 1962, but Your Friendly Neighborhood Spider-Man was actually a fan of The World's Greatest Heroine.
And the cover of
Amazing Spider-Man #306 is also a tribute to
Action Comics #1. See:
http://comics.imakinarium.net/autores/m/mcfarlane/tmspid306.jpg(No, this scene does NOT happen inside the issue!