Preheat an outdoor grill or grill pan to medium-high heat.
Heat the oil in a small saucepan over high heat. Add the ginger and garlic and cook, stirring, until soft, about 2 minutes. Whisk in the hoisin sauce, ketchup, sherry, sesame oil, soy sauce and bring to a boil. Remove from heat and cool slightly.
Mix the beef with the cilantro, 1 teaspoon salt and 1/4 teaspoon pepper using your hands until just combined. Form into four 3/4-inch-thick patties and about 4 1/2 inches in diameter.
Lightly oil the grill grates and grill the burgers, flipping once for medium, 4 to 5 minutes per side, brushing the burgers with some of the sauce in the last few minutes of cooking time.
Serve the burgers on the buns with the extra sauce on the side and lettuce, tomato, onion and pickles on top and fries on the side if desired.
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