Rangoon's rhymes with:
goons, lagoons, afternoon's, afternoons, baboon's, baboons, balloons, boons, cartoons, cocoons, coones, coons, croons, dunes, funes, goons, harpoons, impugns, june's, junes, koon's, koons, kuhns, kunes, lagoons, lampoon's, loons, monsoons, moon's, moons, noons, nunes, platoons, pontoons, prunes, raccoons, runes, saloons, spoons, tunes, tycoon's, tycoons, typhoons, verboons
Rangoon's sounds like:
ranching, ranging, ranking, rankings, rankins, ransacking, ransom's, ransoms, rearranging, reinking, remaking, reminiscence, reminiscences, reminiscing, remissions, renaissance, renaissance's, reneging, renouncing, rensing, ringing, ringneck, rinsing, romancing, rummaging