Yes, there exists a recording of Pope Leo XIII singing the Ave Maria!
- Under Leo the Catholic Faith made great progress; during his pontificate two hundred and forty-eight episcopal orarchiepiscopal sees were created, and forty-eight vicariates or prefectures Apostolic.
- Historical scholars are indebted to him for the opening of the Vatican Archives(1883)
- Civilization owes much to Leo for his stand on the social question. As early as 1878, in his encyclical on the equality of all men, he attacked the fundamental error of Socialism.
Link to the recording: https://www.youtube.com/watch?v=o9Pv-UuGUDM