Amherst rhymes with:
amerifirst, ashurst, ayerst, barkhurst, bathurst, bensonhurst, blackhurst, bratwurst, bringhurst, broadhurst, brocklehurst, dewhirst, dewhurst, elmhurst, fairhurst, hayhurst, jokerst, longhurst, lyndhurst, oberst, parkhurst, potthurst, smethurst, swindlehurst, tolhurst, traversed, warhurst