At the Animal Kingdom, there's an absolutely lovely fruit plate at Flame Tree that is vegan without the yogurt. I'm lacto-ovo and dabbled with veganism earlier in the year, and adored the fruit.
Sunshine Seasons also has many choices, at Future World in Epcot.
I have a list here that I made earlier in the year with items that may be or possibly could be veganized
(I see I skipped CHH for some reason, not sure why, the chili is amazing though)
Electric Umbrella
Future World - Epcot
Whole Wheat Vegetable Wrap with hummus, vegetables, balsamic vinaigrette and apple slices $6.89
Fruit Cup $2.99
Sunshine Seasons
The Land
Future World
Epcot
Various items
Cantina de San Angel
Mexico - World Showcase - Epcot
Counter Service
Wet Burrito - soft flour tortillas filled with beef, served with lettuce, tomato, cheese, black refried beans, sour cream and Adobo Sauce $7.95
(ask for beans only, no cheese, no sour cream)
Ensalada Mexicana - tortilla shell filled with grilled chicken, black refried beans, lettuce, tomato, sour cream, cheese and Mexican salsa $8.75
(ask for no chicken, no sour cream, no cheese)
Black Refried Beans - $1.75
Guacamole - $2.95
Liberty Inn
America - World Showcase - Epcot
Counter Service
Vegetarian Burger - with apple slices or fries $6.39
Vegetable Wrap with apple slices $6.99
Fruit Cup $2.99
Yakitori House
Japan - World Showcase - Epcot
Counter Service
Garden Salad with ginger dressing - lettuce, tomato, cucumber, red cabbage and carrot topped with original ginger dressing $3.29
Flame Tree BBQ
Animal Kingdom
Counter Service
Mixed Green Salad -- crisp greens and tomato with balsamic vinaigrette dressing in a toasted garlic shell $4.99
Fruit Plate - seasonal sliced fruit plate served with honey yogurt $6.99
(no yogurt)
Harambe Fruit Market
Animal Kingdom
Kiosk
Pineapple Bites $3.99
Watermelon $2.29
Fruit Cup $2.99
Apple $0.99
Celery and Carrot Sticks $3.89
Back Lot Express
Disney-MGM Studios
Counter Service
Southwest Salad with mixed greens, crisp corn tortilla, black bean relish, grilled sweet plantains and chimichurri dressing $6.49
(this now has chicken, ask for no chicken)
Grilled Vegetable Sandwich - black olive ciabatta roll, mushrooms, red peppers, zucchini, tomato, watercress and cheese with sundried tomato pesto and black bean salad $6.99
Flatbread Grill
(Studio Catering Company)
Disney-MGM Studios
Counter Service
Greek Salad with Lemon-Oregano Dressing $5.99
(no cheese, if it has cheese)
Toy Story Pizza Planet
Disney-MGM Studios
Counter Service
Toy Story Salad (Kalamata olives, pepperoncini, feta cheese, onions, tomatoes with balsamic vinaigrette) - $4.99
(no feta cheese)
Cosmic Ray's Starlight Cafe
Tomorrowland - Magic Kingdom
Counter Service
Vegetarian Wrap $6.79
Vegetarian Burger - $6.29
PECOS BILL
TALL TALE INN AND CAFE
Frontierland - Magic Kingdom
Counter Service
Vegetarian Burger served with fries or apple slices $6.29
Chicken Salad - freshly tossed seasoned chicken, jicama, lettuce, vegetables and cheese in a lime vinaigrette $6.99; served without grilled chicken $4.99
(no chicken, no cheese)
Pinocchio Village Haus
Fantasyland
Magic Kingdom
Mediterranean Salad - mixed greens, chicken, and mozzarella cheese $7.19
(no chicken, no cheese)