well you need 3 things....Fuel, Air, Spark...try to knock one out one at a time....you changed the plugs, checked the Distributor, try looking at possible clogged injectors....check for any vacuum leaks, or even a faulty fuel pump could be the problem, when you accelerating your askin for more fuel and if its faulty then it'll quit on you resulting in your car cutting off......make sure your air filter is clean.....when you checked your distributor what did you look for? its possible that the contacts are worn out.....happened on my gs-r, it would hesitate/bog when i accelerate and even cut off on me while driving....my rotor and cap were worn out, was gettin spark on only 3 plugs sometimes so if at worse replace those.....umm can't think of anything else for now....do those and see what happens