With full disrespect to NHL Coins the other 30 teams, my answer is the Pittsburgh Penguins. This goes beyond championships, though both teams have won plenty of those recently. (This would be a far better comparison if the rival Philadelphia Flyers had won as much as the University of North Carolina has recently. Oh well.) The Penguins and Blue Devils also drive -- according to everybody else -- a nauseating percentage of national media coverage.
For me, the similarities are rooted in the face of each team. Sidney Crosby is Duke coach Mike Krzyzewski. Neither man reveals his personality much to the public. They are both stoic. To opponents they are evil, and yet neutral observers can't help but respect them for their longevity and their genius. No doubt both Crosby and Krzyzewski are among the greatest of all time, if not No. 1 in their respective fields. Both men have had to adapt to a one-and-done culture. In Crosby's case, that means a rotating crop of wingers. For Coach K, it's a new starting five every season. They are identified solely with their current institutions, and we can't imagine a world where they are anywhere else. When they represent their countries on an international stage, we somehow find them more likeable. And then they go to back to their respective teams and we return to hating them.