On When It Counts

Most Consecutive Post-Season Games With At Least One Time on Base
1. Boog Powell, 25 games (first 25 post-season games of his 33 game career)
2. Lou Gehrig, 23 games (last 23 post-season games, running from 1928 through 1938, of his 34 game career)
T3. Rickey Henderson and Joe Morgan, 22 games
5. Barry Bonds, 21 games (active player, these are his most recent 21 games so this streak is currently alive)
6. Carlos Beltran, 20 games (active player, these are his most recent 21 games so this streak is currently alive)

thanks to baseball-reference.com, whose Play index just added post-season games to its database.