A really good way in which you can get your kids more interested in eating healthier and to get them to try some new foods is to let them help you out when you are cooking in the kitchen. You can make it even more fun by playing some games with them that will get them more interested in what's going on in the kitchen. Playing cooking games is going to make your child want to taste what they helped to make.
One game you can play is a theme dinner. Theme dinners are a great way in which you and your kids can decide upon what to eat and have some fun doing it. You can let your kids decide upon the theme for the meal ahead of time. They can pick a country and then you can focus in on a meal from that country. By having them decide on the country ahead of time will give you enough time to get the right ingredients that you will need for the meal. Then you can help your kids figure out what food to have for the meal reminding them that it has to stay with the theme. Everyone should play a role while cooking the meal and even when they are eating the meal. By preparing food that's from a different country is going to help your kids be more willing to try different foods outside of their own culture. If you don't like the idea of a foreign country theme consider a camping them and have the meal prepared over a campfire or cook stove in the backyard.
Another game you can play is a pizza art game. Have everyone involved in cooking the meal pretend that they are a famous Italian artist. Let everyone have enough dough for their own personal pizza and then have a lot of different healthy pizza toppings available to put on the pizzas. A good way to keep it a fun game is to put a time limit on how long they have to create their pizza art masterpiece. You can use cereal boxes to separate the kids if there are several of them playing the game. This way they won't get distracted by each other. Let the kids do what they want and use their creative minds when making their pizzas. Once they are done they can bake them and eat them.
Hold a cooking reality show in your kitchen. You can have your kids be the contestants and they are competing to be the best chef. You can pick a secret ingredient that each of them has to use in their assigned dish and then give them say a 30 minute time limit to make their dish. Depending upon the age of the children will dictate how complicated the recipes can be. Once they have finished cooking their food you will be the judge, trying to be as entertaining as possible, just as if you were on TV and then make sure that you try each thing that was prepared no matter what it might look like. If you have a few adults there you could have all of them be judges and you can form a panel of judges. The winning recipe can be awarded a certificate crowning them the best chef in the country.