Unisys' rhymes with:
unisys, unisys, unisys, unisys, telesis', unisys, medaphis, middlemiss, paredis, perlis, telesis', unisys
Unisys' sounds like:
umansky, umass, unanimous, unease, uneasy, unesco, ung, ungo, unhinge, unhook, unigesco, union's, unionize, unions, unions', unique, unisex, unisys, unisys's, unix, unmanage, unmask, unos, unwise, unz