Budgies, lovies and tiels are not big on fruits but they do LOVE their leafy greens and veggies. Mine eat cooked carrots, corn, sweet peas (try the baby ones, first), chopped green and wax beans, sweet potato, pumpkin or squash (they love spaghetti squash), beets, etc. The trick is to offer the veggies cooked soft and cut up in small pieces so they are ready to be swallow. As to greens, they love them all (lettuce, escarole, chicory, celery, Swiss chard, bok choy, nappa, broccoli, broccolini, etc). Try putting them dripping with water hanging from the top of the cage and on the bottom (the budgies like to "bathe" on them). They also eat fruit but, again, you have to make it small so buy champagne grapes and Maine wild blueberries whenever possible but you can also grate or chop apple and open up an orange section (make like a little arc with the peel in the inside so the little thingies are sticking out).
The trick is to insist, insist, insist. Sometimes it takes up to a year to get one bird to try a new thing but when you have a number of them is easier because if one eats something, the others will follow so don't lose hope and keep on trying and, before you know it, they will be eating a large variety of produce.