The relationships between five classes of Japanese people (i.e., 96 centenarians, 96 Alzheimer's disease (AD) patients, 96 Parkinson's disease (PD) patients, 96 type 2 diabetic (T2D) patients, and 96 healthy non-obese young males) and their mitochondrial single nucleotide polymorphism (mtSNP) frequencies at individual mtDNA positions of the entire mitochondrial genome were examined using the radial basis function (RBF) network and the modified method. New findings of mitochondrial haplogroups were obtained for individual classes. The five classes of people were associated with the following haplogroups: Japanese centenarians-M7b2, D4b2a, and B5b; Japanese AD patients-G2a, B4c1, and N9b1; Japanese PD patients-M7b2, B4e, and B5b; Japanese T2D patients-B5b, M8a1, G, D4, and F1; and Japanese healthy non-obese young males- D4g and D4b1b. From the points of common haplogroups among the five classes, the centenarians have the common haplogroups M7b2 and B5b with the PD patients and common haplogroup B5b with the T2D patients. In addition, the 112 Japanese semi-supercentenarians (over 105 years old) recently reported were also examined by the method proposed. The results obtained were the haplogroups D4a, B4c1a, M7b2, F1, M1, and B5b. These results are different from the previously reported haplogroup classifications. As the proposed analysis method can predict a person's mtSNP constitution and the probabilities of becoming a centenarian, AD patient, PD patient, or T2D patient, it may be useful in initial diagnosis of various diseases.