Despite the strong purifying selection that occurs during embryonic development, the particular location and features of mitochondrial DNA make it especially susceptible to accumulating point mutations, giving rise to a large number of mitochondrial DNA variants. Many of these will have moderate or no phenotypic effects but others will be the cause of very dramatic diseases, usually known as mitochondriopathies. Because of the abundance of different mitochondrial DNA variants, it is not easy to determine whether a new mutation is pathogenic. To facilitate this task, different criteria have been proposed, but they are often either too severely or too loosely applied. Citing examples from the literature, in this paper we discuss some critical aspects of these criteria.