The ONLY limitations on what she can eat are those that pose a choking hazard and those that are a known family food allergen (current policy of the American Academy of Pediatrics).
When you mention the foods like peas, avacado, bananas, etc. those are all great foods for her.
Between 1-2 years, fat is still a really critical component to her diet for proper brain development.
However, you need to be really cautious with the amount of sodium/carbs that come from many of the foods you mention such as the fruit cups, Luncheables.
Sugar free products aren't necessarily bad, but calories are not a real problem for kids this age, so it's usually recommended to use real sugar to be healthiest.
I think it's great you don't want to make compromises and want to be as healthy as possible. Just be careful of foods marketed as healthy. Usually anything preprepared vs. freshly made is best because you can control the ingredients, the preparation, and the portions.
Good luck. Give her whatever you're eating and help her learn to love new flavors.