I know that it's an object and you can use it may be like that but I thought when you are referring to a country you more faith as a culture and I am not sure if it can be used in the context 'there is nothing like Australia' may be a better fit
closed as unclear what you're asking by shin, Eddie Kal, Hellion, Varun Nair, ColleenV♦ Oct 25 '18 at 19:43
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Yes, it is correct. There's a idiom:
It is said about something you enjoy immensely.
I'm afraid, it won't be common to say like that.
The safest use could be...
There is no country like Australia
This speaks everything you want! Australia is a country and then you are comparing the rest of the countries with it and then calling Australia as unmatched.