The uproar

Here's what I did when my kids were freaking out about their favorite foods and snacks being completely gone from our house never to return.

You should have seen the uproar in the house after I gave away my kids' favorite foods and snacks. 
"I want some fishies.  I want some fishies," they would say.
"Nope.  They're not good for our bodies," I would reply.
"I want some chips, now," Roman would say.
"I want some french toast sticks.  What else am I going to eat for breakfast?" Bella would moan.
"We're going to figure something else out.  And you're going to love it." 

And on and on it went.  This is what got it to stop.  "When it's your birthday you can have whatever you want.  I will buy you a box of french toast sticks if that's what you want on your birthday."  This got them very excited and they stop hounding me about the foods like missed and got busy writing down what they wanted me to buy them for their birthday.  Bella came up with such a long list she started freaking out about having to choose only those things that would fit into one day.
"Can I have birthday week?" she asked.
"Okay, you may have birthday week."
Bella is always an exception to every rule.  So she will get birthday week and the rest of us will have birthday day.  Needless to say, all the kids are looking forward to their birthdays.  And whenever they complain about something I just say, "You can have it on your birthday" and that quiets them.  It really does work.  That way they don't feel deprived and it gives them something to look forward to.  Works like a charm.