The map I posted some time ago, provided by the Flat Earth Society, is an almost exact replica. And we're not talking about scale, we're talking proportion. The proportion of Australia, as you have discovered yourself, is out by a significant amount.
And the Gleeson map shows that you have to fly a very long way past L.A. to get to Santiago from Sydney. And you've discovered that that is simply not true. So if the earth is flat, there isn't a map that one could use.
Let's face it, it's difficult to produce a 2D map of a 3D globe that's accurate in all respects. If you had a ball on which the countries of the world were drawn, such as this...
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...then it's not possible to flatten that ball out. But if the earth was flat then it would be
ridiculously easy to produce a 2D map. Which is what The Flat Earth Society has done. It's their official, this-is-what-the-world-actually-looks-like map.
And you have discovered that it's wrong.