Continuity mistake: There is a scene where Goodman is in the establishment where his future wife is working. There is a shot where it shows his beer glass with about 2 inches of head on it. The angle changes and in a matter of seconds, the head on the beer is gone.
Other mistake: Early on, the Babe is seen showing up late at a game in Boston, staggering hung-over to the plate, and hitting a home run. But this was a home game; it would have been the bottom of the first, and if Ruth hadn't been there by game time, some other player would already be playing in his place.