Somebody probably makes a "ding-dong" sounding IC.
There are complicated ding-dong circuits on the internet. Some of them might work.
My home was built with an American expensive doorbell ding-dong mechanical thingy that used a solenoid to throw a plunger to the "ding" vibrating bar then used a spring to throw the plunger back to the "dong" vibrating plate.
It was not loud enough to hear throughout my home.
I replaced it with a cheap Chinese mechanical one that uses plastic resonant cavities over the vibrating bars for a much louder sound.
My wife and dogs ignored the original one but they bark at the new one. My wife barks at me, "Who is at the door?".