Celebrate the Blue New York Mets 1964-2008 Shea Stadium side patch with this special commemorative fitted from Exclusive Fitted ONLY. The New York Mets played their first game at Shea Stadium on April 17, 1964 when they lost to the Pittsburgh Pirates. On September 28, 2008 the Mets played their final regular season game at Shea Stadium against the Florida Marlins. Shea Stadium was demolished after the season and is used for parking for Citi Field.