New York’s Celebrate Israel Parade, the world’s largest public gathering honoring the State of Israel and celebrating its 51st anniversary, marches up Fifth Avenue, from 57th to 74th streets, 11 a.m.-4 p.m. A one-mile fun run beginning at 11, following the parade route, is new this year. Check local synagogues, JCCs, and organizations for participation. (212) 983-4800.