Intricacies rhymes with:
delicacies, accuracies, associes, bureaucracies, bureaucracy's, candidacies, confederacy's, conspiracies, courtesies, delicacies, democracies, democracy's, embassies, embassy's, fallacies, fantasies, hennessey's, inadequacies, jealousies, legacies, odyssey's, pharmacies, policies, policy's, privacies, prophecies
Intricacies sounds like:
imitators, indoors, initiators, interco, interco's, interiors, intersec, intrex, intricacy, intrigue, intrigues, intros