Marco Estrada (9-9, 3.48 ERA) vs. Corey Kluber (18-9, 3.14 ERA)
0-0
The most recent World Series appearance for any of the four remaining teams was Cleveland losing a heartbreaker to the Florida Marlins in 1997. Think about that, there were two (or three, depending on how you look at it) franchises in Baseball that didn't exist yet, and the two that came in the following year have made a World Series since then (But only one actually won it. WOO SUCK IT TAMPA!)
Both of these teams are pretty well-rested after sweeping their first-round series.