Well, from what I see in movies and TV series, your barbecue is like a hamburger (sometimes I see franks, too) and then you eat them with bread. Here we roast beef, pork sausage and/or chicken and we eat with rice, vinaigrette salad, farofa, mayonnaise of vegetables or eggs. This the most traditional way in São Paulo and I think in Rio, too. But in steakhouses, they have everything related and not to barbecue hahahah.
Regarding to pizzas, I usually see cheese and pepperoni flavors (and that you roll it as a cone to eat😁). Here, there's no limits for your creativity when it comes to pizza. Specially flavors hahaha. You can mix ingredients, make them sweet (chocolate pizzas, for example), fill the borders of it with catupiry, cheddar, or wathever, you can make them of different sizes... That's why sometimes we've got to use cutlery to eat pizza hahaha