I think the main point that's been made in this thread is that there are no way direct ways to get your script in front of reputable producers as an unknown. Every bit of advice you've been given I would classify as an "indirect way" to eventually get your script in front of a producer that might turn your screenplay into a film. Any of these approaches will require an investment of your time and probably some money.
However
@geckopelli just posted something I think really needs addressing. Under no circumstances should you pay someone that claims to have access to a reputable producer. Anyone that asks you to pay to get your script in front of producer X or production company Y is a con. If they aren't a total con and actually have access, they will soon be severed from that access. No legitimate producer or production company will ask you to pay to read your script. Hope that's clear.
The advice you've been given is that there are many paths to EVENTUALLY get your script to producers. Any of those paths will require work on your part and very likely some $ to get you there. I myself used the term "pay to play", I will correct myself and say "invest to play". I see the money you will spend building your career as an investment. Even
@Unknown Screenwriter's advice about finding a manager might cost some money, as I would suggest you get some legal advice before you sign an agreement with a manager if you elect to go that route. I personally think his advice was excellent.
The point is, you are very unlikely to get a direct shot at a producer. I suspect that's what you were looking for and I can understand it made sense to you that it should work that way. Unfortunately, it doesn't. You will need to do some work and probably spend some money on one of the indirect ways that have been recommended here.