I got this out of a book on diabetes, but can't remember which one (maybe Roy Taylor's book?). I think celery was on the list too, but I didn't make a note of it, as celery is indigestion in stick form!
low starch vegetables:
artichoke
asparagus
aubergine
Bean sprouts
broad beans
broccoli
Brussels sprouts
cabbage
carrots
cauliflower
Covolo nero (kale)
courgette
cucumber
gherkins
green beans
leeks
mange tout
marrow
mushrooms
okra
onions
pak choi
pea shoots
peppers
radishes
rocket
samphire
sugar snap peas
sauerkraut
shallots
spinach
spring greens
spring onions
squash
swede
tomatoes
turnips
watercress
I can recommend making
kale crisps as they're nice. I use pepper, chilli and salt to flavour mine.