At the end of the movie, when Joseph and Stephen fall off the horse, Joseph hits his head on a good sized rock. He gets up and staggers, then falls down with his head about a foot away from the rock. When the camera dollies up and looks down from an overhead shot, he is several feet from the rock.
When the club hostess brings the battered Tom Cruise back to the room, she asks Nicole Kidman about him while she lights a filter tip cigarette. We are in 1895, and filter tips weren't invented until 1927.
When the land race begins there are photographers taking pictures. They fire off flash powder. There would be no point doing that in bright daylight and with the distance of the subject they were shooting. Flash powder, the system used before flashbulbs, would only have been used in a dark or indoor setting and with a subject just a few feet away.
The night before the race, as Joseph talks in the tent about how he'll win his land, the tent wall behind him has clearly visible seams that he is supposed to fall through. When he falls and gets up again, the tent isn't ripped, as if someone fell in, it's parted, as if they were sewn that way.