Complicities rhymes with:
eccentricities, complexities, eccentricities, necessities, niceties, universities', annuities, authorities', authority's, availabilities, banalities, causalities, cavities, celebrities, celebrity's, charities', christianity's, community's, complexities, eccentricities, entities, entities', facility's, gratuities, humanities, humanity's, identities, illegalities, immunities, indemnities, inequalities, infidelities, infirmities, insecurities, instabilities, legalities, localities, majorities, maturities, municipalities, nationalities, necessities, niceties, obscenities, personalities, principalities, rarities, rigidities, sensibilities, sensitivities, trinity's, universities', varity's, vulnerabilities
Complicities sounds like:
complexities, complicates, conflicts