Continuity: In the last game of the movie you can see that Ray Mitchell (Angel Player) hits a home run to tie the game. If you look you can see that the home run ball goes over the fence and out of the stadium but then after they change cameras to Ray and then back to where he hit the home run it shows a man with the ball in his hand as if he caught it.
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Mistakes
At the end of the movie when Tony Danza is pitching to the last batter, the batter hits a ball that is very low to the ground, and it appears as if it is going toward either shortstop or center field. But the announcer and camera shots indicate that it is headed toward the left field foul pole, and eventually going foul. How could it change directions like that? See more...
Angels in the Outfield mistakes
Continuity: The stain from the nachos on David's pants is completely gone when Roger asks him to get him a cup of coffee.
Continuity: In one of the first games the movie shows, announcer Ranch Wilder has a bruise near his eye. This bruise disappears the following day, and is never heard of again at any point in the rest of the film.