Where did the New York Gants and Jets play their home games before they got their joint complex in New Jersey?

You mean before their last 2 Homes in East Rutherford, New Jersey? I think The New York Jets in their History have played at The Old Polo Grounds The Old Home of Major League Baseball's New York Giants, Shea Stadium The Former Home of The New York Jets, I think they even played at The Yale Bowl on The Campus of Yale University before moving to East Rutherford, New Jersey and playing at Giant Stadium in The Meadowlands and now MetLife Stadium.

The New York Giants have played at The Old Yankee Stadium before moving to East Rutherford, New Jersey and playing at Giant Stadium in The Meadowlands and now MetLife Stadium.

The Jets played at the Polo Grounds and then Shea Stadium. The Giants played at the Polo Grounds and then at Yankee Stadium.

Ha ha....joint complex?  I love it.  You're saying they're addicted to weed.

Jets were playing at Shea stadium before moving to the Meadowlands in the early 1980's.

Giants played at Shea Stadium in 1975 before moving to the Meadowlands in 1976.  Prior to that they spent two years playing at Yale University, and Yankee Stadium prior to that.

The Jets played in the Polo Grounds, and Shea Stadium before moving to New Jersey in 1984.  The Giants played in the Polo Grounds, Yankee Stadium, Yale Bowl, and Shea Stadium before moving to New Jersey in 1976.