Fury Road didn't seem at all pulpy so I would avoid something like Fate or Feng Shui 2.
If you're looking for a game that models Fury Road's fiction and not real-world physics, I will recommend Apocalypse World.
Their playbooks (character classes) fit almost exactly the characters we see in Fury Road. And the game does a great, great job of pushing hard choices, the same ones that we see play out in Fury Road.
There's a tremendous amount of flavor and tone in AW, baked right into the game mechanics, I can't recommend it highly enough if you're aiming for a small campaign or one-shot.
If you're looking for very long term play (more than 8-10 sessions), I'm not sure I'd recommend it. There's no increasing mechanical complexity (gaining bigger and badder powers) and there's no zero-hero arc and while characters become more capable; it feels like you can just as easily die like a dog in session 10 then you could have in session 1.