Anomalies rhymes with:
facsimiles, families, families', family's, homilies, subfamilies, connally's, connelly's, donnelley's, donnelly's, facsimiles, families, families', family's, homilies, italy's, monopolies, panopolys, subfamilies, tripoli's
Anomalies sounds like:
aimless, amal's, amauligak, analgesic, analgesics, analog, analogic, analogies, analogous, analogue, analogy, analyses, analysis, analyze, analyzes, animal's, animals, animals', annals, annualize, annuals, anomalous