Other mistake: As the guards lead Flynn away after the Ring Game, the rings disappear, and as the trio is heading up the walkway, you see the paths disappear from the ring end up. The speed that it was dissolving would have caught the second guard, and he would have fallen and derezzed.
Other mistake: In the Ring Game, Flynn throws a shot that Crom catches and returns. When the shot hits Flynn's rings, it takes out the third and fourth ring. Problem is that any other time, the impact only takes out the ring that it hit. Close inspection shows a solid hit on the fourth ring only. The only explanation is that since Flynn continues and jumps the "gap" in the rings, this was a deliberate set up to bring the end to this sequence and move the movie forward.
