I've always found the anonymous Player A vs. Player B quiz—where you only share stat lines and not names—to be a fun exercise. So let's start with just such an anonymous comparison:
I suppose the identities of Player A and Player B are relatively obvious given the trade the St. Louis Cardinals made this morning. The Cardinals sent lefthanded pitching prospect Rob Kaminsky to the Cleveland Indians in exchange for first baseman/outfielder Brandon Moss. That gives us one player's identity. Player A is Moss in 2015 with the Indians. Player B is 2015 Mark Reynolds, the player Moss appears to have been acquired to supplant at first base.