Smithereens rhymes with:
careens, figurines, marine's, marines, marines', wolverine's, appleans, bean's, beans, betweens, brenes, burdine's, burdines, canteens, careens, cheane's, christine's, cleans, convenes, cortines, cremeens, cuisines, d'alene's, dean's, deans, deines, demeans, denes, eanes, eighteen's, eighteens, fifteens, figurines, filene's, fourteens, francine's, francines, gasolines, gene's, genes, green's, greene's, greens, greens', henes, intervenes, irene's, jean's, jeanes, jeans, kathleen's, kean's, lamine's, latrines, leans, leins, levine's, liens, lorean's, machine's, machines, machines', marine's, marines, marines', martines, mclean's, mcmeans, means, means', nitrosamines, nitrosomines, peens, phillipines, preteens, queen's, queens, rabin's, ravines, reconvenes, routines, sabine's, saenz, sardines, scenes, screens, sheen's, sheens, sixteen's, sixteens, skeens, slovenes, stiens, sunscreens, teens, usines, vaccine's, vaccines, viens, weins, wiens, wolverine's
Smithereens sounds like:
santorum's, schneiderman's, semidrying, smattering, smothering, squandering, syndromes