Iheartsushi418, you can be in my Mom's club.
*drags soapbox out of closet for big speech*
My kitchen is not Burger King, you get it my way or you don't get it at all.
That being said, I obviously never cooked food I knew for sure they weren't gonna eat. DH and I like liver now and then, but the kids were not partial to it, so I just fixed them hot dogs. 99% of the time though, what I put on the table is what you eat.
Put your foot down, you might be surprised how well they respond. Especially when they get hungry enough. Besides, the foods you described that they will eat are not all that healthy and they are not getting all the vitamins and minerals they need. As parents, it is up to us to teach them GOOD habits.
My boys are good eaters, love fruit and veggies, try new things often and are good cooks. They are also married and out of the house.

But I insisted they eat a variety, and try new things when they were kids.
Their dad was a bigger PITA when it came to eating. His mother fried everything in solid Crisco and drowned it in gravy, veggies were almost non existent and fruit? What's fruit? He is much better now. His 2 choices were eat what I cook or do it yourself.

He's learned to like things not dripping in grease and actually likes fresh veggies and fruit.
I've always worked and never had time for that picky nonsense anyway. I'm the Mom and that's the only reason I've ever needed.
*gets off soapbox and drags it back to closet*