After a search I found all these online...
Counting the 2010 Steelers one, the one this past Sunday and all these that'll bring the record in bat games to 7-2 at least.
As for the question at hand...
- following the 2009 Jets game: defeated Giants, 48-27
- following NFC Divisional vs. Cardinals: defeated Vikings, 31-28
- following NFC Championship vs. Vikings: defeated Colts, 31-17
- following Super Bowl XLIV vs. Colts: defeated Vikings, 14-9
- following 2010 Steelers game: defeated Panthers, 34-3
- following 2010 Cowboys game: defeated Bengals, 34-30
- following NFC Wildcard vs. Seahawks: defeated by Packers, 34-42
- following 2012 Broncos game: defeated Eagles, 28-13
- following 2016 Seahawks game: ? vs. 49ers
So that'd be 7-1 following these "known" bat games.