An overwhelming majority of what we eat is made from plants and animals. This means that composition of our almost entire food is chemicals from the realm of organic chemistry (carbon-based large molecules). Water and salt are two prominent examples of non-organic foodstuffs - which come from the realm of inorganic chemistry. Beside some medicines is there any more non-organic foods? Can we eat rocks, salts, metals, oxides… and I just don’t know that?
A number of food additives don’t contain any carbon atoms; if you follow the links from the Wikipedia article on food additives you can find a bunch, for example sodium bisulfate which is a color retention agent.
There are also some interesting cases like the antifoaming agent Polydimethylsiloxane (found in trace amounts in, among other things, Chicken McNuggets) which I believe is technically a hybrid organic/inorganic polymer.