Why is there no listing for players leaving men on base over the course of a career or a single season? Because the data / research is simply not yet available.
The most runners left on base during a nine-inning shutout is sixteen. It has occurred twice in Major League history: May 24, 1994, when St. Louis shutout Philadelphia and May 7, 1998, when Seattle shutout Toronto.
The fewest runners left on base during a nine-inning game? Zero —of course— and it has been accomplished many times in both the American & National League.