There are some places that serve a thin crust pizza.
I like Io Te Amasso, which is on Malabia 1885.
You can order their thin, crispy crust pizza with what ever you want, including NO cheese at all, if thats what you desire.
But really- you should just try to enjoy the pizza that you have, rather than the pizza you wish you had, to paraphrase Donald Rumsfield.
Or, as Jerry Rubin used to say,
Eat Here Now.
dreaming about pizza of continents you are not on is a prescription for melancholy, let me tell you.
There is great thick and cheezy pizza here-
places like Los Inmortales, Banchero, El Cuartito, Las Cuartetas, Guerin, La Mezzetta, Punto y Banco, and many more-
And Faina- while not pizza, even though it is pizza shaped- has no cheese at all. Me, I am a devotee of Fugazetta, where the onions outweigh the cheese 3 to 1. La Mezzetta cooks it fugazetta upside down, to get the onions nice and carmelized...
you can find em all on Guia Oleo-
http://www.guiaoleo.com.ar
My favorite amusement at parties in BA is to ask two, or more, Portenos which is the best pizza. The resultant argument can go well past dawn, and is a mini-tutorial in every aspect of Argentine culture, language, slang, food, genealogy, geography, and history.
I find it worse that I cant find a decent argentine style pizza in Seattle.
Or Terma. Or good humita empanadas. Or a tarta like the ones at La Nueva Gata Allegria, on Billinghurst- kind of like a Muffaleta, but with pumpkin. Nothing like em in North America. Or Papas with Cebollas.
When I am not in Buenos Aires, I miss the food there. Guess I am just contrary.