Here ya go:
http://www.thephinsider.com/2014/1/25/5343964/nfl-power-structures-who-really-runs-a-team
That's the Patriots*, Steelers, Jaguars, Chiefs, Cowboys, Giants, Eagles, 49ers(formally Harbaugh), Seahawks, Rams and now the Bills. All coaches report directly to the Owner. In some cases the coach has control over player personnel (Pats*, Chiefs, Seahawks and now Eagles) and in the others the GM is in control of the 53 man roster and the coach has input but is in charge of the 46.
The Jets, Falcons and Dolphins don't have a similar structure to the Bills at all.
As you can see there a plenty of successful teams in that mix, in fact the majority of them are.