Generally, cancer is responsible for nearly every sixth death worldwide. Early cancer revelation can provide successful and low-cost treatment of cancer, enhancing survival rates of cancer patients. This explains the key importance of development of novel highly sensitive systems for revelation of cancers in humans. Ribonucleic acids (RNAs) of several different types (microRNAs, circular RNAs, and small nucleolar RNAs) represent promising cancer biomarkers. At the same time, nanoribbon biosensors allow one to detect cancer-associated RNAs at ultra-low concentrations. Here we focus at experimental results on the detection of cancer-associated RNAs in human plasma with our nanoribbon biosensor, demonstrating promising capabilities of this nanotechnology-based device as a base of highly efficient diagnostic screening platform for early diagnosis of cancers in humans.