For the game settings and etc. check the above guide. You need two controllers for this method.
When the game starts, pull back (after you gain possession of the puck obviously) and complete at least one rotation around your own goal. After that, hit start on the second controller, go to "Strategy," then choose "Pull Goalie." Rush past your opponents by holding the right trigger, and then all you have to do is hit the puck into the goal by pressing the X button, not the A button, which is why it took me forever to get this achievement. Every guide I read neglected to mention this.
As for the definition of a breakaway, it is when a player gets past all of his opponents and goes mano a mano (one on one) against the goalie, though in this case there will only be an empty goal.