Er kann's nicht lassen (1962)

Father Brown is only too happy to interfere with the work of the police in solving tricky criminal cases, usually with resounding success. That's why the clergyman is transferred to a sleepy island called Abbott's Rock. At first, nothing happens there, but somehow Father Brown seems to be attracted to crime: Soon a gang of thieves is up to no good on the island. So Brown makes the headlines again, and is punitively transferred once more. This time he finds himself in a quiet Irish millionaire community.