To make aioli sauce, combine first 5 ingredients. Refrigerate, covered, until serving., For shrimp cakes, combine the next 8 ingredients; add 1/2 cup bread crumbs. Stir in shrimp. Form by 1/4 cupfuls into fifteen 2-inch thick patties. Arrange in a single layer, cover and chill 2 hours. , Preheat oven to 400° Place remaining bread crumbs in a shallow bowl. Gently coat patties on both sides. Place on 2 baking sheets lightly sprayed with cooking spray. Lightly spray tops of cakes. , Bake for 15 minutes or until lightly browned. Keep warm. Serve with spicy aioli sauce. Garnish with thinly sliced green onions if desired.