Update: College Player Profiles - Player profiles for 2014 Division I college players are complete. Any player with statistics for 2014 have a full player bio with HT/WT Bats/Throws Birthdate/city and high school
There's a lot of data in the TBC data repository and here are some of the ways to mine the data at no cost. There's a mini-application for all levels of data from at bat level to career.
At-bat level data for any Major League at bat since 1957. More than twenty different parameters to select from including batter/pitcher matchups.