I did something a few minutes ago which I didn't think was possible in the game unless the opponent screwed up somehow. I stole home with Ty Cobb and beat the tag to the plate.
It was close, but my opponent had been ignoring baserunners for most of the game, so I got a 4- or 5-step lead from third (whatever is the maximum) and took off as soon as the pitcher moved. The pitch was a change-up in the high 80s.
Sidenote: in my experience, Cobb is by far the fastest player in the game. Agree?