Keep trying! Get creative, and offer vegetables that she hasn't had before, or in a way she hasn't had them. If she likes fruit, she probably likes sweet things, so try offering sweet potatoes/yams, sweet corn, and beets, because they are all sweet. I found shoestring cut beets in the canned foods section at the store the other day, and my daughter loves them! They are a fun color, and kind of sweet, so I guess that is why she likes them. If she likes cheese, put cheese on the veggies, or butter, a little salt and pepper, or other kinds of seasoning. A tiny bit of salt isn't going to hurt her, and it is better for her to eat her veggies with a little butter and salt than not eat them at all, I think. I've also tried fresh asparagus with my daughter, and she really liked it. Also, give her the vegetables first, while she is still hungry. She'll be more likely to eat them then. I agree with the other people who said to try to make it fun. Maybe you could pretend the broccoli and cauliflower were little trees or flowers, or that the green beans are little logs or cars, and she is the giant who eats up the town? She could be Alice from Alice in Wonderland, when she is big. What about using the potato peeler to make carrot curly cues- you could do that with a lot of different vegetables. Have you tried offering her pickles? They even have bread and butter pickles with no added sugar now. That would be a very sneaky way to get her to eat a vegetable, and you can cut it in any shape you want! Best of luck, and don't give up! She'll thank you for it someday! =)