Add saltine crackers to food processor and pulse until fine crumbs form. Set aside.
In a large mixing bowl, add eggs, mayonnaise, mustard, parsley, chives, Worcestershire sauce, old bay seasoning, lemon juice, salt and pepper. Whisk to combine well.
Add crab meat and saltine cracker crumbs and use a rubber spatula to gently fold everything together.
Line a large plate or platter with wax paper. Press crab mixture into a 1/2 cup measuring cup, then transfer to prepared baking sheet. Use your hands to lightly press together to make sure the crab cake isn’t falling apart.
Repeat with remaining crab mixture. Cover tightly with plastic wrap and refrigerate for at least 1 hour, or up to 24 hours.
Preheat oven to 450°F and spray a large rimmed baking sheet with nonstick cooking spray. Transfer crab cakes to baking sheet.
Brush crab cakes with melted butter and bake in preheated oven for 13-15 minutes, until golden brown on top and around the edges.
Serve immediately, with lemon wedges.