From most tolerated to "okay in very small amounts":
mushrooms carrots sweet potatoes potatoes broccoli zucchini water chestnuts baby corn garlic bell peppers avocado (also on my fruit list) green beans edamame legumes (Are these vegetables or in their own category?) asparagus celery peas onions/shallots/leeks tomatoes baby spinach cauliflower cabbage
Least tolerated: brussel sprouts lettuce cucumber sprouts raw "anything"