We have Burger King and Hungry Jack's in Australia...... It's the same chain, but here is the difference as far as I know: Hungry Jack's stores are franchised through the guy in WA (as Bernie pointed out) and, Burger King is franchised direct from the US.
I started typing up a big spiel about the court battle between HJ's and Burger King but found this instead.....
History of "Burger King" in Australia
When Burger King decided to expand its operations into Australia, it found that its business name was already trademarked by a man running a small takeaway food shop in Queensland. As a result, Burger King provided the Australian franchisee, Jack Cowin, with a list of possible alternative names that the Australian Burger King restaurants could be branded as. The names were derived from pre-existing trademarks already registered by Burger King and its then corporate parent Pillsbury. Cowin selected the "Hungry Jack" brand name, one of Pillsbury's US pancake mixture products, and slightly changing the name to a possessive form by adding an apostrophe 's' thus forming the new name Hungry Jack's. Accordingly, the first Australian franchise of the Burger King Corporation, established in Perth in 1971, was branded as Hungry Jack's.
You can read more about it here if you wish..
http://en.wikipedia.org/wiki/Hungry_Jack's