The journey to find the most substantial Major League Baseball players that wore the number 34 on their uniforms starts by looking at who the Baseball Hall of Fame has in their hallowed halls. Enshrined number ones of professional baseball are:
- Red Ruffing
- Lloyd Waner
- Waite Hoyt
- Lou Boudreau
- Bucky Harris
- Hack Wilson
- Brooks Robinson
- Rollie Fingers
- Nolan Ryan
- Kirby Puckett
- Frank Thomas
- Randy Johnson
- Trevor Hoffman
- Roy Halladay
Another telling clue to find the best is to see who has the MLB number 34 retired by their respective teams. This list of retired number 10s includes:
- Rollie Fingers Brewers August 9, 1992
- Rollie Fingers Athletics July 5, 1993
- Nolan Ryan Rangers September 15, 1996
- Nolan Ryan Astros September 29, 1996
- Kirby Puckett Twins May 25, 1997
- David Ortiz Red Sox June 23, 2017
- Roy Halladay Phillies August 8, 2021