Yeah, that's pretty much our face too.
Still, there are certain things these movies aren't allowed to fuck with: Peter Parker always gets bitten by a spider, he always shoots webs from his wrists, and he's always an orphan. He was raised by his aunt and uncle, according to that rule that says no superheroes can have living parents (hell, the comics went decades without even saying what happened to his folks). In the first Amazing Spider-Man movie, it's revealed they died in a plane crash, and Peter spends the bulk of the sequel following up on his deceased father's work. Again: where you find a superhero, you find daddy issues. Which is what makes the almost-ending so bizarre ...
The Amazing Spider-Man 2 introduced approximately 700 subplots to set up future movies, so it's shocking to learn that they actually cut one. The original ending features Peter being visited at the cemetery by a bearded man. This mysterious, mourning-interrupting fellow is revealed to be none other than Richard Parker, aka Spider-Dad.
You can tell he's older now because they gave him a beard.
This raises a lot of questions, chief of which is how Richard could have possibly survived the plane crash in the flashback that kicks off the movie. He kind of glazes over that and mumbles about how he needed to disappear to keep Peter safe from the villainous Oscorp. Peter gets angry at his father, then hugs him, which makes us wonder if this scene was cut because too many fathers and sons who went to the movies for some light male bonding would have been forced to uncomfortably examine their own relationships.