As Peter and Miles, the friendly neighborhood Spider-Men(?), there's a lot to explore in Manhatten and the surrounding boroughs. In Downtown Brooklyn you'll come across the Big Apple Ballers Stadium where you can earn the Marvel's Spider-Man 2 Home Run Trophy.
The description of the Home Run Trophy is
Round the bases at the Big Apple Ballers Stadium
This trophy is very easy to earn and can be obtained as soon as you get access to free roam in Spider-Man 2. This will become available to you after you've completed your first two crimes in the Financial District as Miles and Peter.
Where to find the Big Apple Ballers Stadium in Marvel's Spider-Man 2?
Head to Downtown Brooklyn, this is the South-East section of the Manhattan portion of the map. If you go to the furthest South-East portion of Downtown Brooklyn you'll see a beach with a carnival area as well as a large baseball stadium.
Swing into the Baseball Stadium and head to home base. Once here just run around the bases in a counter-clockwise direction and this Trophy will unlock.