Here's what rhymes with unirue.
you u lieu lu rue loo yew yu ewe ru roux to who do two new through too few true view due knew blue drew du grew que crew threw blew coup flew q qu shoe zu clue cue dew glue hue queue shew su sue tu vous chew cu deux flue fu slew zoo brew bu flu hu ju jus ku mu nu peu pew pu seu shu sou thru vu woo boo chou chu coo cou doo feu fue gu hew mieux shou shrew thu tue vou vue wou wu clew goo mew moo pooh poo shoo gnu slue thew whew phew into screw anew renew accrue ensue stew untrue adieu ado piu skew eschew revue sinew sprue tzu imbue redo strew halloo spew valuer endue indue muumuu achoo review pursue withdrew canoe undue debut rendezvous taboo undo tattoo beaucoup outdo vnto askew outgrew fondue foreknew zebu kazoo marabou bestrew prevue wazoo booboo regrew atishoo interview revenue hitherto overview residue avenue bamboo retinue subdue caribou construe jusqu overdue overthrew kangaroo shampoo overdo ballyhoo honeydew overflew overshoe superglue overdrew overgrew barbecue cockatoo hullabaloo barbeque bugaboo peekaboo buckaroo misconstrue