On September 6, 2016 Jose Reyes hit a home run and stole a base in the same game. The next day (September 7, 2016) he repeated the feat.
How many times has this been accomplished in the past, by what players?
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Since 1913, this has happened 132 times according to Baseball Reference.
From 2006 to 2016, this has happened 17 times. The criteria I used was "Longest Streak with HR>=1, SB>=1 From 2006 to 2016."
Because I do not have a subscription to Baseball Reference, only 8 names came up on this list. This list is incomplete.
For previous years:
17 times between 2000-2005. (There was a player with back-to-back-to-back games with a home run and stolen base during this time).