First, see the articles on "Transition Offense" and "Attacking the Full-Court Press".
Think of the court in four sections. Full court = "80", ¾ court = "60", half-court = "40" and ¼ court = "20".The defense will often try to trap the inbounds pass in the corner. With varsity level players, our first option is to look to make the inbounds pass up the sideline to O2 or O4. If this pass is open and completed, we usually get a 2-on-1 attack fast-break. Otherwise, the pass goes to O1 in the corner, and the opposite half-court player (O4 in the diagram) will move toward the middle looking for the pass. Meanwhile, the ballside half-court player (O2) moves up the sideline looking for the pass "over the top". O1 looks to pass to either O4 or O2, or if necessary, can pass back to O3, circle back, and then get the pass back from O3. O3 always stays behind the ball for the pass back out of trouble. If O3 gets the pass, then O1 always stays back behind O3.
Diagram B, O4 looks to make the pass to O2. O2 has a 2-on-1 situation and looks to attack the basket for a layup, the foul or pass-off to O5. Make sure O5 is on the opposite block.
Now look at diagram C. If O1 is being denied the pass, O2 and O4 (after a count of 2) sprint up the sidelines looking for the pass. Once the pass is made to the sideline, O1 cuts hard up the middle expecting the return pass from the side, and O1 can now attack as the press is beaten.
Now look at Diagram C. Suppose the defense is denying the pass to O1. O2 and O4 sprint up the sidelines, possibly all the way to the endline. If O2 and O4 are also being denied, after reaching the endline, they backcut and go long for the over the top pass up the sideline. O1 can "walk" the two defenders down to the endline, and then suddenly backcut for the over the top inbounds pass. Or if the pass went up the sideline, after walking the two defenders down, O1 now cuts hard up the middle and gets the pass from the sideline and speed dribbles up the court, as the press is now beaten and we are looking for a layup.
See diagram A below for our setup. O5 goes deep, as usual. O2 is up the sideline. O1 brings the ball up and moves to one side to get the defense to commit to him/her. O3 always stays back behind O1 a couple steps, on the opposite side. Once again, O4 moves to the "center of the box" created by X2, X3, X4 and X5 and the pass could go to there. See Diagram B. Our preference is for O1 to move to the side but stop short of half-court, back dribble a couple dribbles and pass quickly over to O3 on the opposite side. With the defense shifted to the right, O3 now dribbles quickly across half-court. Once O5 sees the pass go to O3, he/she cuts out to the 3-point arc to get the next pass from O3. O4 can then cut to the hoop, looking for the pass from O3 and the layup (Diagram C).
Now if the defense starts expecting the pass from O1 back to O3 and X3 steps into that passing lane and denies that pass, O4 should be wide open in the middle. It's pretty hard for X3 to cover both our O4 and O3.
In summary, the above "80", "60", and "40" press-breakers, along with "3-thru" should take care of any presses that you encounter, as long as you stay calm and are on the attack. We run these press offenses with the thought of not just breaking the press, but to get a 2-on-1 or 3-on-2 advantage and score a lay-up (or get fouled).