2001 Saturn L300 Frustration

More pressure just hits bottom - does this mean your brake peddal goes all the way down to the floor or its just thats the max pressure you can genererate.
Regardless, check the caliper pins & make sure they are sufficently lubricated and smooth, because it sounds like they are 'Binding' keeping the caliper from being able to slide & squeeze the rotor.

Pedal goes all the way to the floor as far as it will go. I have changed out the calipers but this has not solved the problem. Brake master, brake booster have also been replaced. Bottom line, as the car starts to slow down when first applying pressure, I am not able to apply any more pressure to slow it down faster. Definitely if I had to make a quick stop, there is no way to so effectively.

OK knowing that the peddle is going all the way down tells me everything. Your master is new so regardless of how many time s you have bled them you still have air present in your lines. I am goimg to give you special instructuins for doing what is called a 'gravity bleed'
take off the resivior cap (make sure its full of course)
Starting with the wheel furthest from the master open the bleeder and let it drip. Do not touch the peddle AT ALL. Be patient and just watch it drip. When you have lost about 25 % of the fluid from the resivior close the bleeder and go to the next wheel and repeat. Gravity will do all the work, you just have to be patient and keep the resivior full. You should accasionaly see a bouble or 2 come out of the bleeder. Lightly tapping the calipor to vibrate it will also help the air escape. You do not want to use the 'pumping' method any more, it obviously for some reason isnt working and you could at this point mess up your new master's seals. Afterr bleading all 4, put the cap back on and without starting the vehicle, gingerly pump up the brake pedal. It should build up to a point of not going down anymore, if anything it should atleast improved a lot. If it doent then for whatever reason you master is no good. I have seen bad ones come strait out of the box so its not impossible. Just be sure to be patient when bleeding cause you want thre entire length of brake line to have a chance to dripout. I know this will help, pumping the system creates to many possibilities for air to get back into the system. A gravity bleed is garunteed to reduce the wear & tear and is easier to monitor.