In engineering parlance composites are materials with high tensile strength bonded to materials with high compressive strength.
Concrete is compressive strength materials (rock, sand) bonded with cement. OTOH - We could say reinforced concrete, (steel, fiberglass, etc reinforcement) is a composite.
Plywood was used for shields by the Romans, I'm fairly certain the Vikings, and wikipedia mentions the Greeks and Egyptians used it as well. From what I can tell from a quick google, it does seem to be a casualty of the Dark ages though.
Concrete is compressive strength materials (rock, sand) bonded with cement. OTOH - We could say reinforced concrete, (steel, fiberglass, etc reinforcement) is a composite.