Pinch Hitter is a well-done little game. You unlock new challenges by completing tasks -- hit a home run; hit ten pitches in a row, etc. You choose a name, team and colors before playing (the game records your achievements so you can continue at the same level at a later time). There's a pale yellow cursor that indicates where your bat meets the ball.
Warning: Typical baseball noises, which you can mute with a button at the bottom of the menu screen. Unfortunately there are some other sfx before you get to that screen, so turn down your speakers if that's a problem.