I have always shied away from the term "breakout" because it implies overnight success. Players and teams only break out after a lot of hard work and time in the gym, not because of some one-time magical performance that opens a floodgate. That's just the point at which some people finally notice.
That said, here are some players who will make themselves noticed this season:
Jeff Green, Georgetown: The 6-8 forward is a skilled passer who has a great feel for the game. He can shoot it and can put it on the floor, taking big guys farther out on the court to exploit matchup advantages. Green is first-team All-Big East good.