Considering that the main of objective of both cricket and baseball is one team trying to score runs by hitting a ball thrown by an opponent, there hasn't been a ton of crossover.
In the olden days of baseball, there's was a bit of crossover between the two sports. Brothers Harry and George Wright, the sons of a English cricketer, both played in the major leagues while having a background in cricket. As did Jim Creighton, who later died after possibly rupturing his bladder while swinging, but that's another story.