Assyrian rhymes with:
syrian, algerian, berberian, biospherian, criterion, derderian, hanoverian, hyperion, iberian, illyrian, liberian, nigerian, presbyterian, quirion, shakespearean, siberian, syrian, thraco-illyrian, valerian, zairian
Assyrian sounds like:
achorn, acierno, ackerman, ackermann, acorn, acrimony, acronym, agouron, agrarian, akerman, akkerman, akron, aquarium, askren, aukerman, ausherman