Quixotic rhymes with:
antibiotic, aquatic, astronautic, chaotic, despotic, erotic, exotic, hypnotic, idiotic, narcotic, neurotic, patriotic, psychotic, robotic, semiotic, symbiotic, unpatriotic
Quixotic sounds like:
quads, quddus, questech, quests, quiets, quist's, quito's, quits, quotas, quotes