Austria's rhymes with:
algeria's, andrea's, area's, areas, arias, bacteria's, bavaria's, bulgaria's, cafeterias, confiterias, deandrea's, farias, iberia's, koreas, liberia's, nigeria's, peoria's, peria's, pretoria's, rosaria's, syria's, victoria's, victorias
Austria's sounds like:
actor's, actors, actors', actress, actress's, actresses, actuaries, actuators, agitators, ashtrays, asterisk, asters, astor's, astorga, astra's, astros, austrasia, awestruck