Combine egg and next 5 ingredients, and mix well. Gently fold in crab; don't overmix. Form into 12 Mini Crab Cakes. (The patties will be fairly wet.)
Heat 1 tablespoon oil in a large nonstick skillet over medium heat. Fry crab cakes, in 2 batches, 2 minutes on each side or until golden brown. Repeat with remaining oil and crab cakes.