Asylum rhymes with:
phylum, absalom, absolom, allum, alum, anklam, antebellum, arunachalam, bedlam, bellum, bensalem, bolam, callum, collom, collum, colomb, column, cullom, cullum, curriculum, diverticulum, elam, emblem, exemplum, felim, flagellum, frenulum, fullam, gastilum, gillam, gillum, goldblum, golem, gollum, golomb, hallam, hallum, harlem, haslam, hollom, holum, hoodlum, hullum, jaglom, jerusalem, kallam, kellam, kellum, killam, kornblum, lindblom, ludlam, ludlum, maccallum, macklem, mahlum, mccallum, mccollam, mccollom, mccollum, mccullum, melhem, milam, milem, milum, moslem, muslim, pablum, pelham, pellum, pendulum, phylum, problem, pullam, pullum, salem, sholem, slalom, solemn, solum, tantalum, ullom, venalum, willam, willem, wollam, woolum, zelem
Asylum sounds like:
acclaim, acklin, aeschliman, agleam, aguillon, aislinn, aquilina, aquilino, aselma, ashlin, ashline, aslanian, aslin, asselin, axline, axlon