Each July the best of each league play in the Mid-Summer Classic, the All-Star Game. See the box scores for these as they occur.

To see the Box Score of a game click the link below.
2002 - NL 9, AL 2 @ Chicago (NL)
2003 - NL 10, AL 1 @ Minneapolis (AL)
2004 - AL 5, NL 4 (14 inn) @ Pittsburgh (NL)
2005 - AL 4, AL 3 @ Cleveland(AL)