Some things to do and see in Argentina:

Teatro Colón - one of the worlds great opera houses, dating back to 1908.
National Museum of Fine Arts - a world class art museum with 32 exhibit halls and state of the art technology throughout.
National Museum for Decorative Art - the former mansion of wealthy Argentinians, this lavish building is now home to some very nice pieces of art.
Los Glaciares National Park - created in 1937, it is the second largest national park in the country and is home to the biggest ice cap outside of Antarctica.
Municipality of Ushuaia - this is the capital of the Tierra del Fuego province and is one of the southernmost cities in the world,
Puerto Madero - a recently restored dock with lots of shops and fine dining.