When you start a sentence that makes a comparison from one thing or condition to another, you have to at least mention both conditions. So although the sentence is grammatically correct as it stands*, as a topic sentence to a paragraph or essay it doesn’t make sense; it doesn’t work unless the comparison is made within the sentence. The rest of the paragraph, indeed, the rest of the essay, can help to complete and prove the argument, but the full statement of comparison has to be made.
Overall, more and more fast food is eaten…
... than slow food
... than at any other time in our history
... than used motor oil
... than we would care to admit
... than you would believe
*As @gailcalled noted, the passive voice is just not a good one for this sentence. Food doesn’t eat itself, so it makes sense to at least refer to who (or what) is eating the food.