Insist rhymes with:
consist, assist, cist, consist, cyst, desist, persist, subsist, assist, baptiste, chryst, cist, coexist, consist, crist, cyst, delist, desist, dismissed, enlist, exist, fist, frist, ghrist, gist, grist, hissed, kissed, kist, krist, list, liszt, missed, mist, nist, persist, pissed, preexist, quist, reminisced, resist, rist, schist, subsist, tryst, twist, vist, wist, wrist
Insist sounds like:
immunized, incata, incest, inched, incised, incite, incited, inequity, inexact, ingest, ingested, ingot, iniquity, inject, injected, inkatha, inkjet, inquest, insect, inset, inside, insight, insisted, instead, institut, institute, instituted, instituto