Melt butter in a large saucepan over medium heat. Add shallots; sauté until tender. Stir in shrimp and seafood seasoning. Cook 3 to 5 minutes or until shrimp are pink and cooked through.
Transfer mixture to a food processor, and pulse until finely chopped. Add remaining ingredients; pulse to combine. Spoon into serving crock. Cover and chill. Serve with toasted pita chips, toasted baguette slices, or crackers.