Stir together tuna, 1/3 cup breadcrumbs, and next 6 ingredients in a large bowl just until blended. Shape tuna mixture into 8 equal patties (about 1/3 cup each). Dredge patties in remaining 1 cup breadcrumbs.
Cook 4 patties in 1 Tbsp. hot olive oil in a large nonstick skillet over medium heat 3 minutes on each side or until golden. Remove from skillet. Repeat with remaining 1 Tbsp. oil and 4 patties. Place Tuna Cakes on top of Bibb lettuce leaves and tomato slices; serve with dill pickle spears.