I have tried giving them spinach, broccoli and carrots and apples but they are not touching them. I have tried eating it infront of them to know it is ok to eat and to entice them but they are not touching it.
Have you tried finely chopping them and putting little bits in with their seed ? Another way to try would be to get a new "special" feed dish and only put something they love like pieces of a millet spray in it for a week or so, then start putting some of the chopped pieces in that dish...
Don't quit trying....
He came down from Heaven unto this earth below
He came down from glory and praises untold
He came down to man fashioned in their way
He came down to rescue, He came down to save
Budgies are fickle little birds, they can absolutely ignore something for a month and then out of the blue decide to have a look!! Try some different ways of offering as Randy suggested, place some whole lettuce leaves on the bottom of the cage or clip them where they can be reached, basil, thyme, sprouts all chopped finely and placed on a flat container have a go !!
Mine are pretty much the same, but have gotten better. I ended up just getting them to perch and held the food under their beaks until they took a bite, my arm was sore from holding the position, but they'll eat parsley and broccoli now at least.
The only trick you need is patience. Budgies are very hard-headed when it comes to diet, so they will take a long time to decide to try something new.
Keep trying different fruits and veggies in different preparations (you can, of course, repeat them as the days pass!) and continuing to eat them in front of your budgie and be happy and say "yummy yummy!" like you really enjoy it - it worked for me! Now, all I say is "yummy yummy" and Sammy knows that he's getting something to eat and perks up.
You can also try mixing veggies into a bit of homemade egg food - CuteLittleBirdies has a great recipe on her website! This is always a huge hit with my own Sammy.
Make a game out of it: I took a bamboo skewer and put the fresh greens on that (with a little twig, came pre-drilled, from the rodent section) and hung it in the cage. The birds started nibbling on that, same as with broccoli.
As to other foods, sprouts is a gateway food, simply sprout their regular seeds, and of course there is coating the seeds with the new flavor.
I have had good success with baby foods, stage two, that is simply vegetables and water, no meat or seasoning. A small jar lasts me a few days, refrigerated after opening of course, a couple of teaspoons coat the meal's seeds nicely, not to sloppy, not too dry.
And I had good success with trying a bundle of chickweed together and hanging it in the cage. Again, the curious little birds HAD to investigate!
It sometimes takes several months before budgies will decide that new foods are worth trying.
Sweet corn kernels with just the tinest bit of garlic powder (not salt) worked for me to get Sunny and Shelby willing to try different things. Sunny's favorites now include, corn, basil leaves, red peppers, and zucchini. Broccoli seems to be viewed more for shredding rather than eating.
LOL, yeah, the corn...I buy a small bag of mixed frozen vegetables, the corn (mais for Europeans) goes first, the sweet peas second, then the green beans. The carrots are a complete no-go though....can't blame them.