A lot of guys never drew a walk in their career. For grins, here are the top 10 from 1901 to 2008 in terms of plate appearances:
  1. Tracy Stallard (Boston Red Sox, New York Mets, St. Louis Cardinals; 1961-1968): 258 PA
  2. Steve Cooke (Pittsburgh Pirates, Cincinnati Reds; 1992-1998): 193
  3. David Bush (Toronto Blue Jays, Milwaukee Brewers; 2004-2008): 149
  4. Sean Bergman (Detroit Tigers, San Diego Padres, Houston Astros, Atlanta Braves, Minnesota Twins; 1993-2000): 145
  5. Buster Narum (Baltimore Orioles, Washington Senators; 1963-1967): 131
  6. Brian Williams (Houston Astros, San Diego Padres, Detroit Tigers, Baltimore Orioles, Chicago Cubs, Cleveland Indians; 1991-2000): 101
  7. Matt Beech (Philadelphia Phillies; 1996-1998): 94
  8. Dan McGinn (Cincinnati Reds, Montreal Expos, Chicago Cubs; 1968-1972): 94
  9. Bartolo Colon (Cleveland Indians, Montreal Expos, Chicago White Sox, Anaheim Angels; 1997-2007): 90
  10. Renie Martin (Kansas City Royals, San Francisco Giants, Philadelphia Phillies; 1979-1984): 90
Bush is the active leader, but he's got a ways to go before he catches Stallard (who is more famous for serving up homer #61 to Roger Maris in 1961). All of these guys were pitchers. How about position players?
  1. Al Hermann (Boston Braves; 1923-1924): 97 PA
  2. Overton Tremper (Brooklyn Robins; 1927-1928): 94
  3. Joe Dunn (Brooklyn Superbas; 1908-1909): 93
  4. Jerry Gil (Arizona Diamondbacks, Cincinnati Reds; 2004-2007): 88
  5. Bill Schwartz (Cleveland Naps; 1904): 88
  6. Victor Mata (New York Yankees; 1984-1985): 83
  7. Purnal Goldy (Detroit Tigers; 1962-1963): 80
  8. Charlie Moran (St. Louis Cardinals; 1903-1908): 77
  9. Walter Morris (St. Louis Cardinals; 1908): 77
  10. Les Fusselman (St. Louis Cardinals; 1908): 73
That's a lot of old-timers. How about something a little more recent, say since expansion in 1961?
  1. Jerry Gil (Arizona Diamondbacks, Cincinnati Reds; 2004-2007): 88 PA
  2. Victor Mata (New York Yankees; 1984-1985): 83
  3. Purnal Goldy (Detroit Tigers; 1962-1963): 80
  4. Alex Hernandez (Pittsburgh Pirates; 2000-2001): 71
  5. Mike Robertson (Chicago White Sox, Philadelphia Phillies, Arizona Diamondbacks; 1996-1998): 61
  6. Kelly Mann (Atlanta Braves; 1989-1990): 53
  7. Wilkin Ruan (Los Angeles Dodgers; 2002-2003): 52
  8. Orlando Alvarez (Los Angeles Dodgers, California Angels; 1973-1976): 51
  9. Will Pennyfeather (Pittsburgh Pirates; 1992-1994): 47
  10. Mike Fitzgerald (St. Louis Cardinals; 1988): 47
Finally, three men in big-league history (since 1901) have failed to reach base by any means in 28 plate appearances. Not surprisingly, all are pitchers: Tony Pierce (Kansas City/Oakland A's, 1967-1968), Von McDaniel (St. Louis Cardinals, 1957-1958), and Nellie King (Pittsburgh Pirates, 1954-1957).

Well, that was silly. Think I'll go for a walk now...