There is no better place to see a baseball game than Yankee Stadium. Its not just because the Yankees play there (although it helps!), but there is so much history in that Stadium, it provides an aura that is unique to any other venue.
If you can get there on a weekday or on a weekend when they are on the road, you should get a tour. You get to see the clubhouse, sit in the dugout, visit the pressbox, and go to Monument Park, where the greatest Yankees are immortalized.
I didn't vote it perfect because it can take a while to get food and drinks, and the lines for the bathrooms can be BAD.
But there's nothign better than hearing Sinatra sing "New York, New York" after a win!!!