Are there reliable accounts of Buddhists who have remembered past lives?

Although the vast majority of people will not remember past lives, are there reliable accounts of people who have? Specifically are there accounts of Buddhists who have remembered past lives and whose experience can be (even partially) verified in some independent way? Or do people with past life memories generally come from other religions and traditions such as Hinduism? I appreciate that reliable is a very ambiguous term. If possible could people perhaps note the quality of the evidence when answering. Is it anecdotal, statistical significant etc...?