What are the fifteen Mysteries of the Rosary?

The 15 mysteries are divided into the joyful mysteries, the sorrowful mysteries and the glorious mysteries:

https://cmri.org/about-cmri/fatima-apostolate/how-to-pray-the-rosary/meditations-for-the-15-mysteries-of-the-rosary/?hilite=rosary

There are now in fact 20 mysteries of the rosary. Pope john paul declared 2003 as the year of the rosary and introduced the luminous mysteries (or mysteries of light) they are based on important events during the life of Jesus.
The Mysteries of Light
1 Baptism in the Jordan
2 Wedding at Cana
3 Proclamation of the Kingdom
4 The Transfiguration
5 Institution of the Eucharist

The Joyful Mysteries
1 The Annunciation
2 The Visitation
3 The Nativity
4 The Presentation
5 The Finding in the Temple
The Sorrowful Mysteries
1 The Agony in the Garden
2 The Scourging
3 The Crowning with Thorns
4 The Carrying of the Cross
5 The Crucifixion
The Glorious Mysteries
1 The Resurrection
2 The Ascension
3 The Descent of the Holy Spirit
4 The Assumption
5 The Coronation

http://www.loyolapress.com/our-catholic-faith/prayer/traditional-catholic-prayers/prayers-honoring-mary/mysteries-of-the-rosary