MLB player Henderson Alvarez bats right.
MLB player Jose Alvarez bats left.
MLB player Pedro Alvarez bats left.
MLB player Jim Henderson bats left.
No, Henderson threw left handed but batted right handed.
Rickey Henderson
Rickey Henderson, elected in 2009, is the sole 'throws lefty, bats righty' player in the HoF.
In 2012, Henderson Alvarez played in 31 games, all for the Toronto Blue Jays, and batting in of them. He had 1 at bat, getting 0 hits, for a .000 batting average, with 0 runs batted in. He was walked 0 times. He struck out 1 time.
MLB player Abraham Almonte can bat right or left (i.e. he is a switch hitter).
MLB player Adrian Nieto can bat right or left (i.e. he is a switch hitter).
MLB player Alberto Callaspo can bat right or left (i.e. he is a switch hitter).
MLB player Andres Blanco can bat right or left (i.e. he is a switch hitter).
MLB player Andrew Romine can bat right or left (i.e. he is a switch hitter).