4. Dallas Cowboys
The most intriguing team on this list, Belichick to the Dallas Cowboys would send shockwaves through the NFL landscape.
Belichick's mentor and close friend Bill Parcells coached for four seasons in Dallas under owner Jerry Jones. Parcells reportedly "loved" coaching under Jones and would give an uncategorical vote of confidence if Belichick asked for one on Jones.
Jones is notorious for making unilateral personnel decisions (e.g. not telling anyone that he traded for Trey Lance) and his official title includes the role of general manager. His son, Stephen Jones, is listed as director of player personnel. Belichick cannot be enamored with the idea of his owner making trades for him, but if Parcells did truly enjoy his time there, then he might be more at ease. After all, Parcells was the one who dropped the famous "If they want you to cook the dinner, at least they ought to let you shop for some of the groceries" line.
Dallas' roster has the most talent of any team on the list, but they are playing well for head coach Mike McCarthy. His job security should be safe, although with Jerry Jones nothing is ever predictable. McCarthy has run up a 32-13 record across the last two and a half seasons, and earned a playoff berth in the last two years, with another one presumably on the way this season. Similarly to the Giants scenario, the only realistic way that Belichick to the Cowboys comes to fruition is if he shifts to a player personnel role.
It is worth noting that there is always the possibility that the erratic Jones fires McCarthy if the Cowboys have an early playoff exit.
Belichick in Dallas would be an exciting storyline and Jones would gush over the marketing opportunities and media buzz, but McCarthy's seat just isn't hot enough, and Belichick isn't ready to leave the sideline just yet. That being said, never underestimate Jerry Jones' penchant for chaos.