In a documentary on Russian submarines they show non-flammable furniture that's made of some kind of plastic of foam. They test/demonstrate it with a blowtorch that is capable of cutting metal (they say it's set at 2000°C), and eventually the furniture panel melts/deforms, but doesn't burn, although the paint on it does smoke a bit.
What materials could this be made of? (I see there's a Wikipedia article on fire-safe polymers, but there's not much said there what temperatures the various compounds discussed can withstand.
A bit more googling finds a fairly similar demo, claiming the same 2000°C albeit using a flamethrower on an aerogel panel, so I guess the question is more not so specific to some military. To wit this is a "large fiberglass blanket infused with silica aerogel", so I guess the only question is which such materials can be rigid and strong enough to make furniture.