The review discusses prospects for the use of fullerenes and their various functionalised adducts: polyhydroxylated fullerenes (fullerenols), carboxylated fullerenes, adducts with amino acids, peptides and proteins, amino adducts, glycofullerenes (“sugar balls”), adducts of fullerenes with porphyrins, as well as endometallofullerenes. The review article will be useful for specialists working in the field of nanomedicine and nanoengineering.