I can think of a few NHL teams that would like to speak to you re: the dominance thing.
With respect to Brady and Belichek, I think it is part "Could someone else win already," but the media needs to take a bunch of blame for their hero-worship of certain athletes, like Brady, and professional sports leagues for encouraging that focus on certain athletes over the team sport aspect. At a certain point it becomes a turnoff to the average fan who otherwise would say that person is good at what they do.
Now that I've probably annoyed a Pats fan or two, I'll move a bit down 95 and add that I'm sure I wasn't the only person who thought the MLB/media slobberfest during Derek Jeter's last season got really tiring really fast. I mean, good players retire all the time but they don't get pre-game ceremonies and goodbye gifts from every other team in the league. Of course, now he spends his time running the Marlins into the ground.