What house materials are the least flammable?

Reinforced concrete and solid grouted reinforced CMU are the most fire-resistant.

Heavy steel with fireproofing is considered equivalent.

Brick masonry.

Light gauge metal framing with fireproofing.

Heavy timber (6×6 and bigger).

Light gauge metal framing without fireproofing.

Wood-framed would be the least fire-resistant.

As a side note, you need to be careful with stone, clay, and other solid materials as they vary a great deal in their fire resistances.

Also, some might note that some of these materials are incombustible, but this list is dealing roughly with fire resistance.