The most Argentine Burger King interpretation has to be the Traditional Churrasquito or "grilled beef sandwich." In Argentina, a churrasco is any long thin cut of beef (usually steak) grilled over hot coals or on a very hot skillet or other similar method.
The Traditional Churrasquito (shown above) comes on a baguette-like roll with the typical burger accoutrements of cheese, lettuce, tomatoes, and mayo.
They also have the same setup in a burger calling it a "Neapolitan Hamburger:"
There's also a vegetarian version of the Original Chicken called the "Soya Bio:"
Breakfast seems to be a decidedly ham and cheese affair rather than the bacon and sausage that we're used to:
They have plain croissants though:
Finally, they're doing a "Choco Party" promotion with a caramel-lined chocolate sugar cone and a double chocolate sundae with chocolate syrup on top and bottom.