Hank Aaron 25 times.
The 2010 active player that has been on the most All-Star rosters is catcher Ivan Rodriguez, in 2010 playing for the Washington Nationals, who has been on 14 All-Star rosters (10 for the Texas Rangers and 4 for the Detroit Tigers).
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As of the start of the 2007 postseason, Bernie Williams had played the most postseason games in MLB history with 121. However, Derek Jeter had played 119 games in the postseason and, barring injury, will pass Williams for the #1 spot if he plays 3 games in the 2007 postseason.
Wide Receiver Jerry Rice is the current record holder for having been in the most playoff games. Rice has been in 29 playoff games in his career.
Yogi Berra of the New York Yankees played in 75 World Series games, the most in MLB history.