Peel and devein fresh shrimp, then chop into small pieces. Set aside.

In a bowl, mix chopped shrimp with breadcrumbs, eggs, green onions, lemon juice, zest, salt, and pepper until just combined.

Shape the mixture into patties about 1 inch thick and place on a parchment-lined baking sheet.

Heat olive oil in a skillet over medium heat and fry patties for 4 minutes on each side until golden brown.

For aioli, whisk together mayonnaise, garlic, lemon juice, salt, and pepper until smooth.

Serve shrimp cakes warm drizzled with lemon aioli.