9 Innings: Pro Baseball 2011 is free again.
This is an interesting one. You build a team using baseball cards; merging them to power 'em up, and other stuff I have never been able to figure out. The appstore falls woefully short in terms of having any non-arcade baseball games; this isn't OOTP, but it does have real players.
I've forgotten who has the MLB license now; we have Fifa on iDevices because EA holds that license, but I suppose this is the as good as you'll get if you want both real players and the ability to play baseball games, as opposed to simming them.
If you want to friend me on GC,tell me you're from TA and include your screen name.