By the time I did, everyone was safe. The computer does a good job of picking highlights too. Graphics are outstanding. Each park is rendered in pretty amazing detail. Players make diving catches and give each other high-fives etc after homers.
Pitchers pump their fists after key strike-outs.
Fielding fly balls is made easy by a flashing circle where the ball is going to land, you just need to get your player on his horse to that position. The player you are currently controlling is also highlighted by a circle under his feet. The only glitches I noticed were on instant replays, especially double-plays, the players would freeze at 2nd base everytime for about 5 seconds and jerk around back and forth, then the replay would finish. The ambient sounds are great. You can hear the vendors in the background etc.