Spider-Man hasn't gotten its Arkham Asylum yet. By that, I mean I don't believe our friendly neighbourhood webslinger has been realized to the level that Batman was in Rocksteady's Arkham series. We've had some decent Spidey games, but none of them have quite reached that level.
2011's Shattered Dimensions (released on Steam in 2015) doesn't either, but it's actually a pretty good Spider-Man game. And sadly, it's the only one easily available to PC gamers right now, as many of Activision's licensed properties have been culled from Steam over the years. If I were a betting man, I'd say Shattered Dimensions won't be available forever, either.
Shattered Dimensions' story kicks off when Spider-Man B-hero Mysterio accidentally destroys an ancient tablet, sending the pieces into four different dimensions. All four of these dimensions houses a different Spider-Man—he Amazing Spider-Man, Ultimate Spider-Man, Spider-Man 2099, and Spider-Man Noir—with each bringing a different art style, its own voice actor, and some unique gameplay mechanics to the table. Each section of the game is divided into four confined levels, one for each dimension. You can complete these in any order, but you'll need to complete all four before you can move on to the next set of levels.
Amazing, Ultimate, and 2099 mostly consist of character-action, brawling reminiscent of Devil May Cry, with moments of platforming and exploration peppered in between the sections of combat. Amazing Spider-Man uses his webbing to make giant weapons to smash enemies with, while Ultimate uses his tentacles to take out foes until he can charge up his Rage mode to unleash more attack power. 2099, on the other hand, is unfortunately the lowpoint for this game.