“Show Biz” is a tough business. For starters, your precious pearl of a script (speaking both emotionally and financially) has to be got up – meaning lots of people have to be convinced to back it with resources of time and money and faith.
After that you have to convince enough other people to come and see it because left to itself a play will have a shorter shelf life than a flower left out of water.
So many things can go wrong!

When Verdi first gave the world La Traviata at Venice in 1853, it was a flop.
The day after, Verdi wrote to his friend Muzio in what has now become perhaps his most famous letter: “La traviata last night a failure. My fault or the singers? Time will tell”.
“This letter not only implies what Verdi already knew – that the singers, particularly the obese soprano who could never convincingly play a dying consumptive, had failed to understand his music, but more importantly, this letter captures Verdi’s faith that the public ultimately knows what is good art and will pronounce it’s judgment in good time.
After some revisions … the opera was presented again … Today the opera has become immensely popular … it is third on Opera America’s list of the 20 most performed operas in North America behind only Madame Butterfly and La Boheme”   (Quote: Wikipedia)

Of course Verdi had numerous other successes under his belt therefore he possessed the requisite experience and reputation to ride out such a temporary setback to the ultimate recognition of this notable work. Not everyone is that fortunate, in fact many would-be playwrights and composers languish away for want of opportunity to present their work,
or else having seen it presented, wonder why it withers and dies on the vine? Will the public pronounce its favourable judgment in good time? Or will it ever have a chance to? How much really good stuff is laying un-produced or even un-read?

Before  proceeding upon that fascinating theme of “what if ?” Let’s briefly address the initial issue, namely: “getting your play produced”:
It helps to approach an innovative theatrical society who are open to accepting new work, (most aren’t).

B.C.C.T. (Blacktown City Community Theatre) holds an annual program of Short Plays entirely composed of new works. Look them up on the net. Send your short play script.
Also there are other competitions.
Otherwise, encourage your local theatrical society to BE innovative.
Good luck, Oops, I mean "Break a leg".