Here's what rhymes with burleque.
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 accrue 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 regrew screw anew canoe renew stew untrue adieu ado piu skew sprue tzu askew redo strew halloo spew valuer kazoo wazoo achoo into review pursue withdrew undue debut ensue taboo undo caribou tattoo barbecue beaucoup eschew outdo revue sinew vnto imbue outgrew hullabaloo barbeque bugaboo endue fondue foreknew zebu indue buckaroo muumuu overgrew booboo atishoo revenue overview residue avenue bamboo retinue subdue construe jusqu overdue overthrew kangaroo shampoo overdo ballyhoo cockatoo honeydew marabou peekaboo bestrew overflew overshoe prevue superglue overdrew interview hitherto rendezvous misconstrue