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