After visiting Macalania Temple, the group are knocked down below the lake ice by the Wendigo. While they are under, they are quite close to the temple yet they fell several miles away from it. They couldn't have had time to move as Tidus regains consciousness for the first time in that location.
During the Blitzball games, when a player shoots the ball from very close to the goal, often times during the shots of the ball traveling towards the goal, the ball will be traveling from behind the player who shot the ball to begin with. Also if a player passes the ball a second or two before either halftime or the end of the match, the player will be shown throwing the ball, only to have the ball re-appear on the player's hand a second later.
During cut scenes in the game, the characters' weapons keep alternating between the ones they have equipped and their default weapons (e.g. Tidus's "Brotherhood" sword).