Preheat your oven to 375°F (190°C). Line a baking sheet with parchment or lightly grease a baking dish.
Clean the mushrooms by wiping them with a damp paper towel.
Remove stems and gently scoop out a bit more from the center if needed to make room for filling.
Place mushrooms on the sheet, cavity side up. Brush the outsides with olive oil or melted butter. Sprinkle lightly with salt and pepper.
In a bowl, combine cream cheese, mozzarella, Parmesan, mayonnaise, Dijon, green onion, garlic, lemon zest, lemon juice, Old Bay, paprika, and parsley.
Mix until smooth.
Fold in the crab meat gently so you don’t break it up too much. Taste and adjust salt and pepper.
Spoon the filling into each mushroom cap, mounding slightly. Top with a light sprinkle of extra Parmesan.
Bake for 18–22 minutes, until the mushrooms are tender and the tops are golden and bubbly.
Broil for 1–2 minutes if you want extra browning.
Let rest for 5 minutes. Garnish with parsley and serve warm with lemon wedges.