Missionaries rhymes with:
confectionaries, dictionaries, functionaries, reactionaries, revolutionaries, confectionaries, dictionaries, functionaries, legionaries, luminaries, mercenaries, ordinaries, preliminaries, reactionaries, revolutionaries, seminaries
Missionaries sounds like:
machineries, magaziner's, manzanares, mckenrick, mcmorris, mcnamara's, mesmerize, michener's, monsignors