Consignment rhymes with:
assignment, reassignment, alignment, assignment, confinement, realignment, reassignment, refinement, abandonment, adjournment, adornment, alignment, apportionment, arraignment, assignment, atonement, attainment, confinement, containment, discernment, disillusionment, enlightenment, entertainment, environment, imprisonment, infotainment, internment, misgovernment, nongovernment, postponement, realignment, reapportionment, reassignment, refinement, self-government
Consignment sounds like:
cincinnati, cognizant, cognoscenti, commencement, commissioned, conjoined, consent, consented, consequent, consigned, consonant, consumed, consummate, consummated