Modest rhymes with:
oddest, blondest, buddhist, coldest, eldest, encyclopedist, fondest, grandest, hardest, kindest, loudest, methodist, mildest, oddest, oldest, orthopedist, prejudiced, propagandist, proudest, rudest, saddest, sadist, shrewdest, soundest, stupidest, weirdest, widest
Modest sounds like:
matched, matchett, matsuda, matsushita, mediaset, medicaid, medicate, medicated, mendacity, metagogued, methodist, mideast, midget, midgett, midgette, midsized, midst, midwest, mindset, mitigate, mitigated, modesitt, modesta, modestia, modesto, modesty, modisette, monteagudo, mudgett