This app was mentioned in 3 comments, with an average of 1.00 upvote
I used to love the Baseball superstar games by Gamevil. https://play.google.com/store/apps/details?id=com.gamevil.bb2013.global
Anything similar? Specifically loved the my batter modes with the slight character stories and all that. The whole feedback loop of increasing your stats and playing through the seasons on your team was very satisfying!
Game is Baseball Superstars 2013. Runs like crap so I uninstalled it.