Here's what rhymes with oecuménique.
gay k kc cay they may day way away say pay re lay j array bay clay decay gray grey ray che hay nay okay weigh fay fe yea allay dey hey ley ok rei sei whey bk jay lei payee rea rj tae wei bey neigh fey roue shay aweigh play stay today survey essay obey pray prey ballet cafe sway tray fray oj runaway slay valet bouquet communique fillet ij passe sleigh bj drei emigre fj tj tre zwei bray dray flay parquet brae moray nisei purvey sachet noway trey aurae hurray spay copay delay anyway convey spray repay stray astray underway attache cliche lamellae overlay cabaret gangway naturae saute toothache underlay crochet croquet lingerie maxillae risque soiree belay filet inveigh ricochet splay resurvey soubriquet toupee hooray overpay sickbay urethrae briquet layaway medullae reweigh umbrae underpay uvulae yesterday holiday betray dismay halfway interplay defray disarray disobey faraway naivete papillae protege waterway dossier francais matinee microarray nebulae puree replay alleyway breakaway getaway sobriquet souffle workaday caraway castaway giveaway hideaway throwaway airplay byplay patellae prepay sorbet stowaway underplay flyaway macrame overplay overstay roundelay caesurae outplay outstay copulae misplay tearaway respray display everyday formulae portray vertebrae passageway sequelae fistulae scapulae straightaway wordplay carriageway fibulae pleurae stingray takeaway bobsleigh cybercafe foldaway penumbrae walkaway societe cabriolet caravanserais salmonellae tarantulae trabeculae companionway