Unanimous rhymes with:
magnanimous, magnanimous, pusillanimous, anonymous, autonomous, magnanimous, pusillanimous, synonymous, venomous, anonymous, artemus, autonomous, blasphemous, clackamas, hippopotamus, infamous, magnanimous, monogamous, polygamous, pusillanimous, synonymous, thalamus, venomous
Unanimous sounds like:
umansky, umass, unease, uneasy, unesco, ung, ungo, unhinge, unhook, unigesco, union's, unionize, unions, unions', unique, unisex, unisys, unisys', unisys's, unix, unmanage, unmask, unos, unwise, unz