Since our own accents generally sound neutral to ourselves, I would love someone to make an accent-doubler - take the differences between two accents and expand them, so an Australian can hear what they sound like to an American, or vice-versa
I agree.
I think there are places in the world where people consider their accent to be 'neutral', but I'm pretty sure no-one from my neck of the woods would think that.
I've found that when I'm listening to recordings of me my accent really sticks out to me in a way that's completely inaudible when listening to myself live. This happens with both English and my native German.