3. Former U.S. Senator Jim Bunning
Hall of Fame credentials lead the rest of the list, and despite not having ever pitched in a Major League postseason game, Jim Bunning had hall of fame credentials.
That's why, in 1996, the veterans committee enshrined the then-sitting U.S. Congressman in the the Baseball Hall of Fame.
Bunning pitched in the bigs for 17 seasons, most notably with Philadelphia and Detroit, and made seven all star teams.
He was elected to the House in 1986 in his home state of Kentucky, and there he stayed, until his election to the Senate in 1998.
The republican politician sat in the Senate for two terms, and when he retired in 2011, Rand Paul was elected to his seat.
Oh, and did I mention Bunning threw two no-hitters, including a perfect game?