I look for these scenarios every season dating back almost 20 years. I may have pushed a couple seasons, but I don't remember ever losing on these as a group, over the course of a season.
See if you can figure out the correlation:
2014:
TB @ NO Loss
STL @ AZ Win
DEN @ STL Win
Cin @ Den Win
2015:
JAX @ TB 10/11
MIA@ PHI 11/30
BUFF @ KC 11/16
ATL @ JAX 12/20
Take the home team no matter what the spread is.