Unique rhymes with:
clinique, dominique, martinique, monique, sneak, technique, veronique, antique, ashcreek, baek, batik, beak, beeck, beek, belgique, bespeak, bleak, boutique, cacique, cheek, chic, cleek, clinique, clique, creak, creek, critique, deak, deike, dieck, dominique, eke, electrique, feick, fleek, freak, geac, geek, gieck, greek, heeke, henrique, kmiec, leak, leake, leek, leick, leveque, manrique, martinique, mcpeak, mcpeake, mcpeek, mediq, meek, misspeak, monique, mozambique, mystique, nongreek, oblique, paek, peak, peake, peek, physique, pique, reeck, reek, reick, respeak, rieck, riecke, riek, rieke, seaq, seek, sheek, sheik, sheikh, shriek, sieck, siek, sikh, sleek, sneak, speak, speake, squeak, streak, tariq, teac, teak, technique, tweak, vanbeek, veronique, weak, week, weick, weik, wieck, wreak, zeek, zeke
Unique sounds like:
umansky, umass, unanimous, unease, uneasy, unesco, ung, ungo, unhinge, unhook, unigesco, union's, unionize, unions, unions', unisex, unisys, unisys', unisys's, unix, unmanage, unmask, unos, unwise, unz