A gift box includes a base compartment and a plurality of stacking compartments supported on a tubular sleeve. The sleeve forms a pivot axis for the stacking compartments such that the stacking compartments are independently rotatable about the pivot axis relative to the base compartment. The sleeve forms a compartment for a gift item, such as a bottle of wine, which may add rigidity to the pivot axis. The base compartment, stacking compartment, and sleeve may each be folded from a unitary sheet of recyclable material, such as corrugated fiberboard.