Continuity mistake: When Balian is talking with Tiberius after denying the King's proposal, watch Balian's clothing. His chain mail is visible on both sides of his shoulders in one shot; we cut to Tiberius for one line (I believe it was, "Jerusalem has no need for a perfect knight") and when we cut back to Balian, his cloak is now covering the chain mail completely.
Continuity mistake: When Cortez gets out a photo of his wife pregnant, the photo changes between shots. She is facing a different direction in the next shot. His USMC tattoo, however, stays the same direction throughout the scene. (00:26:55)
Continuity mistake: When Valiant flies down the gun barrel, he takes off his backpack and helmet, and he lays them down in the barrel before squeezing through the back of the gun. When he comes back out through the gun with the other birds, the backpack and helmet are not there.
Continuity mistake: When Mother and Mameha are waiting for the bid on Sayuri's mizuage, Mother's cigarette is short at one point, but becomes longer in the next shot.