Cyberpunk

To be clear, this movie isn't cyberpunk. It isn't even scifi. As the article puts it "The film feels like Grease by way of Escape from New York" and that's pretty accurate.

And yet, the movie is referenced in Megazone 23 and Bubblegum Crisis. And was one of the influences for the Cyberpunk tabletop game:

Streets of Fire was also a formative influence on Mike Pondsmith’s Cyberpunk tabletop role-playing game, serving as a chief inspiration for the game’s “Rockerboy” player class, the character of Johnny Silverhand, and even the worldbuilding of the game’s videogame adaptation Cyberpunk 2077. “While Blade Runner​ ​is the most obvious go-to for the visual style, I think the original material is even more influenced by the little remembered ​Streets of Fire,” senior quest designer Patrick Mills said in an interview with Collider

The article is a couple years old, so while it mentions the movie being available on Netflix... it isn't anymore.