Big Win Baseball
If you have been hunting for a unique baseball game, look no further than Big Win Baseball, a simulation / strategy game where your goal is to put together the strongest team possible and beat the competition.
You start by creating a team; this is going to be unique and you have full control over the composition. Once you’ve assembled the group, you can play against other teams. Like a team manager, you get to see how well (or how bad) the team plays.