@joegibson I have an about to be 3 and about to be 5 year old , and the veggies they like are corn, green peas, sugar snap peas, bell pepper slices, broccoli tops, edamame, cherry tomatoes, cucumber with lime juice, a few bites of salad and sometimes cooked carrots. They don't eat a ton of them and I have to constantly rotate through them.
Oldest won't eat raw carrots because they're too crunchy, and the squashy parts of tomatoes are her favorite. She pulls the peas out of the sugar snap pea pod and prefers most veggies raw. The younger one, when he's done, takes the skins off peas, calls them turtles and then occasionally eats the turtle part. Broccoli is only accepted roasted with some lemon and parmesan. The only accepted salad is Costco salad, which is spring mix, feta, olive garden dressing and croutons. My kids don't like ranch.
So far, the baby likes green beans, but that's all she's had.