score:11
Keep in mind that there is no “official” or “correct” way to pray the Rosary. The Rosary is just a devotion, and if someone prays it, he should do so in the way that is most helpful to him.
However, it is recommended that the mysteries contemplated should correspond the liturgical calendar.
For example (as the O.P. asks), it would seem fitting to pray the Joyful Mysteries on Christmas Day, even when Christmas falls on a Friday.
This kind of “change of mysteries” would apply on any solemnity, feast, or memorial that celebrates one of the mysteries in the Rosary.
For example, one would normally pray the Joyful Mysteries on the following days:
The Sorrowful Mysteries, on the following days:
The Glorious Mysteries (those that do not already coincide with a Sunday):
For those who follow the recommendations of John Paul II's Rosarium Virginis Mariae, which recommends praying the so-called Luminous Mysteries on Thursdays and the Joyful Mysteries on Saturdays, the Luminous Mysteries would be prayed on the following days (when they do not already correspond to Thursday):