Looking at that list, I think it would be fair to say that guns and explosives, at least, exist, but are not readily available.
You could do that through strict law enforcement: such items would simply not be available to PCs unless they were in a profession that made them available (soldier, policeman, fireworks artist, etc.), had a license to bear them, had black market connections, or could make them themselves.
To that, I'd add that you'd probably be best looking at some kind of Pulp or Noir setting. HERO has its own, Dark Champions, which emphasizes Pulp, Noir, and Iron Age Comics type archetypes. The additional benefit of HERO is that if you want to have some kind of special FX abilities- Wu Shu, Kuning, Pyrokinesis, Levitation, TK, low-power magic- you can add it without difficulty.
In a similar vein, M&M and GURPS should have something that handles this kind of game well.