Assyria rhymes with:
cerveceria, cerveceria, syria, algeria, bacteria, cafeteria, cerveceria, criteria, diphtheria, elyria, gaviria, iberia, liberia, listeria, nigeria, siberia, syria
Assyria sounds like:
aaker, acary, accessory, accor, accrue, accuray, accuser, acer, acero, acerra, achor, acker, acquire, acquirer, acre, acree, acrey, acri, acro, acura, agar, ager, aggrey, agora, agoura, agra, agree, agri, agro, aguero, aguiar, aguirra, aguirre, aicher, ajar, aker, akira, akre, aquirre, asahara, asaro, ascher, ashare, asher, ashore, ashrawi, ashur, asker, assayer, assessor, assira, assure, auger, augur, auker, auxier, azar, azarow, azeri, azhar, azura, azure, azzara, azzaro