This will be real basic:
Roy's offensive zone systems are a lot some used in lacrosse. A lot of triangle rotations and quick passing. There will be a good amount of pinching in from the weakside side defensemen. You will see that defensemen move into the high slot quite frequently, which can leave that side open for a team with quick wings and a good transition game. More of a 3-2 forecheck than a 2-1-2, but is in between at times depending on pressure and game conditions.
In the defensive zone it is kind of a sagging zone defensive coverage or basically a much more aggressive box + 1 that leaves points open, but covers the slot extensively. Basically 1 guy goes after the puck, with two guys near the sides of the net, one near the slot and one covering the half boards and strong-side point man near the faceoff dot or top of the circle.
The breakouts vary a ton depending on the pressure, but the overall idea is a top down breakout with the wings around the half boards and the center in the strong side faceoff dot to receive passes. The weakside wing will be in the above the faceoff dots in the middle of the ice. What happens from there depends a lot on the pressure and who receives the pass.
The neutral zone defense isn't a trap, more of a 2-1-2 where the center is constantly attacking with one of the wingers, and the other winger falls back to prevent 3 on 2s. Duchene and MacKinnon with thrive here when turnovers are caused with their speed.