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.
Wayne Primeau who has played 90 games in the playoffs but has won no Stanley Cups. Miikka Kiprusoff and Jarome Iginla have both played 47 playoff games for the Flames.
Karl Malone played 193 playoff games in his career, with two teams, without a championship.
Most regular season games: Gordie Howe - 1767 Most regular season and playoff games: Mark Messier - 1992
In the Super Bowl era (playoffs from 1966-2008) that would be the Cleveland Browns who, since 1966, have made the playoffs 14 times and played 20 playoff games but never played in a Super Bowl.
Kevin Lowe holds the Oiler record for most regular season (1037) and playoff (172) games played