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?
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).