Great question! My mother is joining the same club! There are plenty of restaurants with apps of seafood (shrimp, crabcakes etc...) Ive listed a few below I found with apps of some sort of meat!!
At California Grill (Contemporary), they have great flatbread appetizers (topped with veggies)
Captains Grill (Yacht Club)
Appetizers/Starters
Lump Crab Cake - fire-roasted corn succotach and lemon emulsion $15
New England Clam Chowder - creamy chowder with clams, potatoes, and vegetables $8
Buttermilk Fried Rock Shrimp - chipotle remoulade, citrus cream, and chilled cucumber salad $15
Farmers' Market Salad - roasted beets, strawberry, caramelized red onions, spring greens, almond granola, honeyed goat cheese and sun-dried cherry vinaigrette $8
House-made Potato-Cheese Gnocchi - toasted walnut breadcrumbs, julienne pears and truffle butter $9
Seared Scallops - with cauliflower puree, golden raisins, and tree nut vinaigrette $13
Beer-braised Mussels and Clams - chorizo, fines herbes, garlic-herb butter with toasted focaccia $12
Wedged Romaine Salad - garlic-peppercorn cream, bacon lardons, confit tomatoes, blue cheese $9
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Rose and Crown (Epcot)
Appetizers/Starters
House-made English Pasty - creamy chicken and leek in a puff pastry shell $13
United Kingdom Cheese Platter - with Stilton, McCall's Irish cheddar and Cotswold Cheese $13
Coronation Salad - crisp salad with an apple-madras yogurt dressing $10
St. James Cold Smoked Salmon - with traditional condiments and lemon-mayo $11
Scotch Egg Crock of Potato Leek Soup $7
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San Angel Inn (Epcot)
Appetizers/Starters
Queso Fundido - melted cheese with chorizo, poblano and onions, served with flour tortillas $14
Coctel de Camaron - Acapulco style shrimp cocktail served with spicy marinated tomato sauce, flour chicharron, avocado and lime; Dairy-free $13
Tostados de Tinga - pulled chicken seasoned with roasted tomato and chipotle pepper, served over tostadas with black refried beans, green tomatillo sauce, queso fresco and sour cream $11
Quesadillas Rebozadas - battered corn quesadilla stuffed with Huitlacoche, corn, mushrooms, and queso fresco topped with sour cream $13
Tacos de Vegetales - flour tortillas with sauteed mushroom, corn, onions, zucchini, garlic, rajas poblanas and goat cheese $11
Tlacoyos de Chilorio - corn cakes topped with black refried beans, pork chilorio, queso fresco, sour cream and green tomatillo sauce $12
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Kona Cafe (Polynesian Resort)
Appetizers/Starters
Lump Crab Cakes - with Jalapeno-Lime Cream $13
Kona Salad - Mixed Greens, Blue Cheese, fresh Fruit, Red Onions, and Smoked Almonds with Citrus Vinaigrette $9
Seasonal Soup $7
Pot Stickers - wok-seared pork and vegetable dumplings with a creamy soy-ginger sauce $9
Octopus Salad - with edamame, grape tomato, olive oil, and lemon juice $11
Steamed Pork Buns - with cider-braised pork, spicy Hoisin sauce, and Granny apple slaw with roasted brown rice vinaigrette $8
Sticky Wings - Glazed Chicken Wings with tangy Mustard Drizzle and Toasted Sesame Seeds $10
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Boatwrights Dining Hall - (Port Orleans Riverside)
Appetizers/Starters
Colonel's Peace's Pieces - crawfish, shrimp, oysters, and okra in a crispy cornmeal batter with house-made remoulade $12.49
Plantation Salad - Romaine, Parmigiano-Reggiano Croutons, and Prosciutto with our House Dressing $8.99
Amelia's Salad - Spinach Salad with Seasonal Ingredients with House-made Vinaigrette $6.99
Crescent City Gumbo - Chicken and Andouille Gumbo Slow-cooked in a Cajun-spiced Broth $7.49
French Onion Soup Au Gratin - Provolone and Swiss, Onions, and Roasted Crouton in a rich Beef Broth reminiscent to Pierre D'Orr's home village $7.49
Pirogue Platter - Chef's selection of meats and cheeses with house-made accompaniments $10.99
N'awlins Barbecued Shrimp - Classic slow-cooked Shrimp with a Grilled Baguette $12.99
Mardi Gras Fritters - House-made Pimiento Cheese Fritters with Pepper Jelly $8.99