Acurio is promoting anticuchos himself at his newest Lima restaurant, Panchita, which opened in February. Just a few miles from Grimanesa’s cart, the vibe — and the prices — are entirely different. Hunks of meat are on display at the entrance of the vast modern space, accented with vibrant red and dark wood. In addition to beef heart, there are anticuchos of beef, salmon, chicken and octopus that cost between three and six times as much as the ones on the street.

That, Acurio says, is the point: “Why, if we can go to hamburger restaurants and fried chicken restaurants, why can’t we have a wonderful restaurant where anticuchos are the star? If we can have in the mind of people that there are great anticuchos, maybe they will think, ‘Let’s go eat them on the street.’ We try to help each other.”

Other street foods have made their way onto restaurant menus. Tamales now are frequently available at Lima restaurants. My favorites, however, were picarones, a kind of doughnut made from a yeasted pumpkin or sweet potato dough. Whether you find them late-night on the corner or at the local cevicheria, the ring-shaped fritters are served with a sugar syrup spiced with a magical blend of cinnamon, cloves, anise seed and orange peel.

The mix of fruit and spice is a common pairing in Peru. You’ll find it in one of the country’s most popular drinks: chicha morada, made by boiling dried purple corn with pineapple rind, cinnamon and cloves. The dark liquid is served like a nonalcoholic sangria, over ice with cut-up pineapple and apple. It’s sweet for an American palate but not as sweet as the even more popular Inca Kola, an unnatural yellow-colored soda that smells and tastes like bubble gum. Peruvians swear it is refreshing on a hot day, and genuinely addictive.

Then there are potatoes. Peru grows thousands of varieties. While U.S. supermarkets offer about five kinds, the average market in Lima has a dozen or more. Potatoes are such a staple that it’s not uncommon to be served rice and potatoes on the same plate.

By far the most ubiquitous potato dish in Lima is causa, which “Eat Smart in Peru” describes as limited only by the imagination of the cook. The basic dish consists of cold mashed potatoes, usually yellow but occasionally red or blue, flavored with chili peppers and Peruvian lime, then filled with seafood, chicken salad or avocado.

Causas are often made in a casserole dish, but they are sometimes rolled like a jelly roll and sliced or made in individual molds. By far the most interesting interpretation I encountered was at Chala, a restaurant in the bohemian neighborhood of Barranco. Here, the potatoes were stuffed with goat cheese, avocado and crab and, in a tip of the hat to Japan, crusted in panko flakes and then deep-fried. The trick, the chef said, was to fry the causa just long enough to be crisp on the outside yet still cold and creamy inside.

Acurio has anticuchos, causas, picarones and more on the menu at his new San Francisco cevicheria La Mar, his U.S. beachhead. Ceviche is the draw — a gateway dish, if you will, to the broader canon of Peruvian cuisine. But there is one classic Acurio has left behind: guinea pig. The meat is a favorite in Peru, especially in the Andes, where there are restaurants called cuyerias dedicated to roasting the small rodents. The one time we tasted it, the meat filled a delicate ravioli. But the traditional presentation is whole, head-on, little feet pointing toward the ceiling.

It’s not the kind of dish that will win the hearts or appetites of many Americans. But to be fair, you don’t often find natto, a sticky, smelly Japanese bean paste, in many U.S. sushi restaurants either. To conquer the global food scene, you have to pick your battles.