Burlesque rhymes with:
leske, beske, desk, esque, geske, grotesque, jeske, kafkaesque, keske, leske, levesque, meske, reaganesque, reske, romanesque, statuesque, teske, yeske
Burlesque sounds like:
barlage, barrels, barrilleaux, berlack, berle's, berles, berles', berlex, berlioz, berls, berrylike, beverly's, borealis, brailles, brawls, briles, brill's, broyles, burials, burleigh, burrell's