Zorich rhymes with:
borek, boric, caloric, choric, corrick, couric, doric, dysphoric, euphoric, florek, historic, jirik, lorek, lorick, meteoric, moric, norick, orick, orrick, perchloric, prehistoric, roehrich, rohrich, rorick, siewiorek, sirek, stivoric, warrick, yorrick
Zorich sounds like:
zacarias, zacharias, zagorski, zaire's, zakrajsek, zakrzewski, zaragoza, zarek, zarzecki, zarzusky, zarzycki, zayre's, zegers, zero's, zeroes, zeros, zierke, zirk, zorz, zorzi, zucker's, zurawski, zurek, zurich, zurich's, zurowski