A recyclable, thermally insulated shipping container is entirely constructed from organic fiber materials in such a manner that the container is curbside recyclable without separation of component materials. The container includes a corrugated cardboard outer box having a bottom wall, a plurality of sidewalls and a top wall, a corrugated cardboard inner liner assembly comprising a corrugated cardboard inner box having a bottom wall and a plurality of sidewalls, and a corrugated cardboard lid assembly. The outer box, inner liner assembly and lid assembly cooperate to create a plurality of thermally insulated cavities which are sequentially filled and uniformly packed with pre-portioned, predetermined volumes of loose-fill cellulose (organic fiber) insulation to create a consistent insulating value throughout the container.