The New York Giants play only basketball.
Lawrence Julius Taylor ( born February 4 , 1959 ) , nicknamed `` L.T. '' , is a Hall of Fame former American football player . Melvin Jack Hein ( August 22 , 1909 -- January 31 , 1992 ) , sometimes known as `` Old Indestructible '' , was an American football player and coach . New York Giants . Throughout their history , the Giants have featured 28 Hall of Fame players , including NFL Most Valuable Player ( MVP ) award winners Mel Hein , Frank Gifford , Y. A. Tittle , and Lawrence Taylor . Yelberton Abraham Tittle Jr. ( born October 24 , 1926 ) , better known as Y.A. Tittle , is a former professional American football quarterback .