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What would you recommend to someone you know nothing about - New York City or the Swiss Alps?

Maybe just a little info would give you much better answers. The choices you offer are quite different - maybe if you know nothing of either, just google around tourist attractions for both and see what intrigues.

Both are great. Your summer though is Australia's winter and Thailand's summer.

Summer in Thailand is hot and wet, and that is the weather as the girls are hot and wet all year round (I stole that joke from Good Morning Vietnam so blame Robin Williams).

Thailand is great and cheap and at that time of the year cheaper.

Australia will be cold in the south but the north can still be warm or even hot, but better to go in late summer (Australia late winter).

How many days?

You can go to Thailand and Australia too...

Or this year Thailand/Australia and next year Australia/Thailand.

Thailand anytime. They are good compared to Australians

Go to Australia. Nice climate. Nice beaches. No language issue. A bit expensive though if money is no issue then why not

When I travel I want a place that is different from where I live, otherwise just stay home.

Then, Thailand fulfills that idea multiplied by a thousand.

Thailand. It has culture, scenery, and good food.