Carrots - yes in moderation (moderate oxalic acid)
Red and green peppers - yes in moderation
snap peas - yes, on occassion
cabbage - not highly recommended, but okay on occassion (goitrogens)
tomatoes - yes on occassion
broccoli - not recommended (goitrogens, oxalic acid)
onions - fine, though not much point
cucumber - yes, though winter squash family is generally better than summer