MLB player Buster Posey throws right.
MLB player Ben Zobrist can bat right or left (i.e. he is a switch hitter).
Left.
For right handed people they do catch with their left and throw with their right. For left handed people, they catch with their right and throw with their left. Both players have to potential to bat from either side of the plate.
Michael Vick throws a football with his left hand, but he writes with his right hand.
MLB player Will Smith throws left.
MLB player Will Venable throws left.
MLB player Will Harris throws right.
MLB player Will Middlebrooks throws right.
MLB player Aaron Poreda throws left.
MLB player Adam Eaton throws left.
MLB player Adam LaRoche throws left.
MLB player Adam Lind throws left.