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