The Baseball Hall of Fame picks the best players, but doesn't rank them, of course.
Selected in November 2013, these are the About.com Baseball rankings of the Top 100 players in Major League Baseball history. This has been done in other places, of course -- there was the All-Century Team that was complied a little over a decade ago, and several other reputable sources have come up with their own rankings, such as ESPN, Society For Baseball Research and The Sporting News. Baseball-Reference.com's EloRater was also factored in.
And then there's sabermetrics, where the Bill James-created Win Shares give a statistical measure of players' contributions. All of these rankings and stats were factored in and studied, as well as our own rankings of players by position in the past. And then there's the whole performance-enhancing drugs issue -- and the rankings of players who have been suspended or otherwise named as PED users have factored in, mostly where they might have fit on this list had they not had their stats and career length augmented by performance-enhancers.
Also keep in mind that these are Major League Baseball rankings only -- we're not factoring in the Negro Leagues or any other baseball league.
Presented in reverse order, and ending with a player that just about everybody would agree with, here's our top 100 all-time.