Continuity mistake: When Curly Bill is shooting up the town while drunk, he fires about 10 more rounds than his six shooter can hold without reloading, and still has a round remaining when he shoots Marshal Fred White. In the 1880 court hearing held after Marshal White's death, Curly Bill still had 5 rounds remaining in his pistol.
Continuity mistake: When the bobsled team is getting their act together in Calgary, there's a scene of them pushing off with an unpainted bobsled. In the shots of the feet of the guys pushing at the back of the sled, you can see that the lower back of the sled is painted black with green stripes, the colours that they paint the sled in a scene a few minutes later.
Continuity mistake: When Wednesday and Pugsley are playing with the guillotine, Wednesday has a scroll in her hands, which she then rolls up. The shot changes and you can still see the rolled up scroll in her hands. However, the shot then changes again and you can now see Wednesday rolling up the already rolled up scroll.
Continuity mistake: Kimble dyes his hair very dark to escape detection and dyed hair fades over time. For the rest of the movie his hair noticeably goes from darker shades to lighter shades and back again showing that the scenes were shot non-sequentially on different days with a fair amount of time in between.
Continuity mistake: At the end when the children learn that their dad is their new baby sitter, look at Chris' tassels on his coat from when they get to door to when Daniel says 'Go get your stuff' and he runs up stairs - between shots, his tassels are both hanging down, then hanging to the right, then hanging down etc. indicating this scene was shot at least twice.