Continuity mistake: When the group enters Shangri La, Alex runs down toward Zi Juan and the fountain. Before he gets there, we get to see wide shots from behind him of the ground to his left which is rocky with no path, and we also see that no-one is following, yet in the next shot from the front, Zi Juan's daughter appears instantly to block her mothers sword swing. There was simply not enough time between shots for her to accomplish this, and even if it were possible, her mother would have seen her approaching.
Continuity mistake: During the "final confrontation", after Alex wakes up, we see the Dragon Emperor hit Rick with a spinning kick, knocking him to the ground. As Rick falls, in the first shot the Dragon Emperor lands and is facing away from Rick, in the second shot (where we see Rick hit the ground) the Emperor is already turned back to face Rick, and in the third shot, the Emperor turns to face Rick yet again.
Continuity mistake: When Rick and the Emperor are fighting in the end, while they are punching and kicking each other, the Emperor suddenly turns around and is hitting Rick with the back of his elbow after one cut, but if you watch closely, you can tell he didn't have time to turn around, nor did he even start to turn- he simply has turned 180 degrees between shots.